What is an equation of the line that passes through the points (4,-5) and (-2,7)

What Is An Equation Of The Line That Passes Through The Points (4,-5) And (-2,7)

Answers

Answer 1

Answer:

y = -2x + 3

Step-by-step explanation:

y2 - y1/ x2 - x1

7 - (-5) / -2 - 4

-2

The slope is -2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = -2x + b

7 = -2(-2) + b

7 = 4 + b

3 = b

y = -2x + 3

Answer 2

Answer:

y=-2x+3

Step-by-step explanation:

To find the equation of the line passing through the points (4, -5) and (-2, 7), we can use the point-slope form of the equation of a line:

y - y₁ = m(x - x₁)

where (x₁, y₁) represents one of the given points, and m is the slope of the line.

Let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points (4, -5) and (-2, 7) into the formula:

m = (7 - (-5)) / (-2 - 4)

m = 12 / -6

m = -2

Now we have the slope (m = -2), and we can choose one of the given points (4, -5) to substitute into the point-slope form. Let's use (4, -5):

y - (-5) = -2(x - 4)

Simplifying:

y + 5 = -2(x - 4)

y + 5 = -2x + 8

y = -2x + 3


Related Questions

which is greater 0.73 or 1.71?

Answers

Answer: 1.71

Step-by-step explanation:  Think of a number line...numbers increase to the right & decrease to the left.

What is the product of 4/7 and 1/6?

Answers

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Answer: 2/21

Explanation:

4/7 x 1/6 = 4/42 = 2/21

I hope this helped!

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- Zack Slocum

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Solve for x.........

Answers

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

[tex]30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12[/tex]

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Guided Practice
The answer is NOT letter A

Find the range of the function rule y=5x−2 for the domain.{−1/2, 1/4, 2/5}Find the range function rule


A.
{−1/2, 3 1/4, 4}


B.
{− 4 1/2, −3/4, 0}


C.
{3/10, 9/20, 12/25}

Answers

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Elena wants to add (2.3×105)+(3.6×106) and writes (2.3×105)+(3.6×106)=5.9×106. Find Elena's mistake and fix it.

The correct answer (in scientific notation) should be:

Answers

Answer:

Question doesn’t make sense

Step-by-step explanation:

The way this question should be written to be correct scientific notation is 2.3x10^5 + 3.6x10^6 which would equal 3.83x10^6

Answer:

The correct answer is 623.1 . Elena wrote the wrong numbers and put (5.9 x 10^6) .

Step-by-step explanation:

What’s the answer y’all

Answers

Answer:

C

Step-by-step explanation:

If you add all of the numbers together and divide by the total (15) you would get 11.333

(7+8+8+9+11+11+12+12+12+12+12+13+14+14+15) divided by 15 equals 11.3333

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​

Answers

Answer and Step-by-step explanation:

These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.

[tex]A^2 + B^2 = C^2[/tex] is Pythagorean theorem.

[tex]3^2 + y^2 = 7^2\\\\\\9 + y^2 = 49\\\\\\y^2 = 40\\\\\\y = 2\sqrt{10}[/tex]

Now, we want to find x.

We know the triangles are similar.

4.5 divided by 3 is 1.5. This is the scale factor for the triangle.

If we multiply y by 1.5, we will get 5x.

[tex]5x = 1.5(2\sqrt{10} )\\\\\\5x = 3\sqrt{10} \\\\\\Divide.5.on.both.sides.to.get.x.\\x = \frac{3\sqrt{10} }{5}[/tex]

Those are the answers and how to get them.

#teamtrees #PAW (Plant And Water)

PLS HELP ME I WILL GIVE YOU 35 points !!!!

Answers

Answer:

x = 42

y = 38.

I'm pretty sure this is the answer

Answer: x=42 y=48

Step-by-step explanation:

The angle with 42° and the blank space should add up to 90° so you would have to do 90-42=48° to find the blank space. As opposite angles are equal that means y=48° too.

Then to find out what x is you have to do 90-48=42° as the part with x and y in it has to add up to 90°.

You can check this by checking the two quarters. They should both add up to 90°.

42+48=90°

48+42=90°

So we know its correct.

Hope this helps :)

Mrs. Tolin's bedroom is 35.8 square
feet. Her daughter Barb's room is
0.7 times this size. What is the area of
Barb's room?

Answers

Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

Laura wants to cover a box with fabric.
• The box is in the shape of a rectangular prism.
• It measures 15 in. long, 11 in. wide, and 24 in. tall.

Answers

Answer:

Area of rectangular prism = 1,578 inch²

Step-by-step explanation:

Given:

Length of rectangular prism = 15 in

Width of rectangular prism = 11 in

Height of rectangular prism = 24 in

Find:

Total fabric need

Computation:

Total fabric need  = Area of rectangular prism

Area of rectangular prism = 2[lb + bh + hl]

Area of rectangular prism = 2[(15)(11) + (11)(24) + (24)(15)]

Area of rectangular prism = 2[165 +264 + 360]

Area of rectangular prism = 2[789]

Area of rectangular prism = 1,578 inch²

Please help. Fill in the blanks with my rule

x - (x+1)(x+1)
0 - 1
1 - 4
2 - ___
3 - ___
4- ___

Answers

Answer:

2 - 9

3 - 16

4 - 25.

Step-by-step explanation:

I think you want this:

2 - (2+1)(2+1)

3 - (3 + 1)(3+1)

4 - (4+1)(4 + 1)

You substitute 2, 3 and 4 into  x - (x+1)(x+1) and work them out.

What are the coordinates of the vertex of the quadratic function having a minimum value of –1 and roots located at (–3, 0) and (–5, 0)?
plz help I'm really lost!

Answers

Answer:

The coordinates of the vertex will be (-4,-1)

Step-by-step explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are (-3,0) and (-5,0) so the x-value of the vertex will be:

[tex]x_{vertex}=\frac{-5-(-3)}{2}-3[/tex]

[tex]x_{vertex}=-1-3=-4[/tex]

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)      

I hope it hleps you!

Hey! I appreciate any help on this question!

Answers

3 ...................


can anyone do this please

Answers

Answer:

I know for the fact that it's the first one but I don't know the other answer

Step-by-step explanation:

An equation of a graph is y=mx+b and the B is the y-intercept which is -2 since the line is on top of -2. mx is the rise/run of -2 which is -3/2

Hope this helps, but I don't which other equation represents the graph.

Solve for T


Help please,will give points

Answers

the answer would be t=11.6


ABCD is a parallelogram. If a CDA - 57 then BCD-_?
The diagram is not to scale.
133
57
114
123

Answers

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

NOT 270 HELPPP PLSSSS HURRY

Answers

it should be 270 since 6 x 9 x 10 x 1/2= 270

what is the value of x

Answers

Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

Helps me with this please

Answers

The distance between A and B and the distance between C and D are the same ( the 2 little lines indicate that).

This means the two arc lengths would also be the same.

Set the equations equal to each other,, solve for x then solve for the arc length.

AB = 3x +9  

CD = 11x-71

3x+9 = 11x-71

Subtract 3x from both sides:

9 = 8x-71

Add 71 to both sides:

80 = 8x

Divide both sides by 8:

x = 10

Now solve for AB:

3x +9 = 3(10) +9 = 30+9 = 39

The answer is AB = 39

Answer:

AB = 39

Step-by-step explanation:

Hope this helps

Pls solve this problem!!

Answers

264.8 is your answer

Answer:

57.5

Step-by-step explanation:

What is the solution to the system of equations shown in the graph?

Answers

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

A system of equations is shown.

x−y=−8
x+y=4
Which is a method that can be used to eliminate a variable? Select all that apply.

a)Add the terms in the bottom equation to the terms in the top equation to eliminate y

b)Multiply the terms in the bottom equation by 2 and add the resulting terms in the top equation to the terms in the top equation to eliminate x

c)Subtract the terms in the top equation from the terms in the bottom equation to eliminate x

d)Multiply the terms in the bottom equation by 4 and subtract the resulting terms in the bottom equation from the terms in the top equation to eliminate y

Answers

Answer:

a)Add the terms in the bottom equation to the terms in the top equation to eliminate y

The horizontal lines are parallel. Find the measure of ∠G.

Answers

Answer:

36

Step-by-step explanation:

36 is the corresponding angle to the angle which is vertically opposite to g.

Corresponding angles are equal.

Vertically opposite angles are equal.

PLEASE HELP ILL GIVE BRAINLIEST\
SHOW YOUR WORK PLEASE SO I CAN UNDERSTAND

Answers

Answer:

The answer is $3!

Step-by-step explanation:

First, the question asks for the SALES TAX so that means that the equation[tex]37.5*0.08=x[/tex]. (Why 0.08? Because 8%=8/100=0.08.) 37.5*0.08=3. I hope this helps! Have a great rest of your day!

A student performs a test of H0: p = 0.4 versus Ha: p ≠ 0.4 and gets a p-value of 0.03. The student writes: "Because the p-value is not equal to 0.4, we reject the null hypothesis." What is wrong with the student's conclusion?

a. The p-value should be compared with a significance level such as α = 0.05, not the hypothesized value of p.

b. The p-value should be compared with the mean, not the hypothesized value of p.

c. The p-value should be compared with the standard deviation, not the hypothesized value of p.

d. The student should have stated the data prove Ha is true.

e. The student should have stated the data prove H0 is true.

Answers

Answer:

Answer is A hope this helps

Step-by-step explanation:

Answer:

 The p-value should be compared with a significance level such as α = 0.05, not the hypothesized value of p.

Step-by-step explanation:

I took the test and got it right. Hope this helps!

an a 120 question test a student got 96 correct answer what percent
of the problem did student work correctly ​

Answers

Answer:

80%.

Step-by-step explanation:

percentage = number of answered questions ÷ total number of questions × 100%.

= 96 ÷ 120 × 100%.

= 80%.

hope it helps. :)

Write an inequality that represents `t`, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning

Answers

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Answer:

[tex]t > 4.5[/tex]

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

[tex](t_1,T_1) = (0,5)[/tex] --- at midnight

[tex]m = -2[/tex] --- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

[tex](t_2,T_2) = (t,-4)[/tex]

[tex](t_1,x_1) = (0,5)[/tex]

Using the slope formula, we have:

[tex]m = \frac{T_2 -T_1}{t_2 - t_1}[/tex]

[tex]-2 = \frac{-4-5}{t -0}[/tex]

[tex]-2 = \frac{-9}{t}[/tex]

Solve for t

[tex]t = \frac{-9}{-2}[/tex]

[tex]t = 4.5[/tex]

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

[tex]t > 4.5[/tex]

Find the surface area of the pyramid, round to the nearest tenth:

Answers

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

2 Jalina left her home at 1000 to cycle to a park
On her way to the park, she stopped at a fhend's house and then continued her journey to
Here is the distance-time graph for her journey to the park
the park
25
20
15
Distance from
home (km)
10
1000
1100
1200
1300
1400
1500
Time
(a) On her journey to the park, did Jalina cycle fister

Answers

Answer:

Time

Step-by-step explanation:

3 1/5 divided by 1 1/2

Answers

Answer:

2.13333333333

Step-by-step explanation:

First you do 5x3+1 = 16/5

Second, you do 2x1+1 = 3/2

Third, you divided 16/5 by 3/2.

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