The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.

Answers

Answer 1

Answer:

y = (1/4)*x + 3

Step-by-step explanation:

A linear equation can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through the points (0, 3) and (8, 5)

Then the slope will be:

a = (5 - 3)/(8 - 0) = 2/8 = 1/4

Then this line is something like:

y = (1/4)*x + b

Now we want to find the value of b.

Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.

If we replace those two values in the line equation, we get:

3 = (1/4)*0 + b

3 = b

Then the equation for the line L is:

y = (1/4)*x + 3


Related Questions

Answer plz ASAP, I will give brainliest no links

Answers

Answer:

A: (10k+m)(10k−m)

Step-by-step explanation:

In the system below, what is the value of k if x = 4? What is the solution to the system?
6x + 8y = k
x + y = 1

Answers

The system's solution is (xy, y) = and the k-value is 0. (4, -3).

What does the word "value" mean?

Something that someone values are referred to as values. The things that only a person or a company considers "important" are, in other words, their values. Examples include valor, integrity, freedom, and inventiveness.

How do worth and value differ?

Value includes both the material and emotional cost of that possession. Only the item's monetary price may be considered its worth. An object's value often remains constant, although it might change based on the person and how much the thing means to them personally.

If [tex]x = 4[/tex], then we can substitute [tex]4[/tex] for [tex]x[/tex] in the second equation to get:

[tex]4 + y = 1[/tex]

Subtracting [tex]4[/tex] from both sides, we get:

[tex]y = -3[/tex]

Now we substitute [tex]x = 4[/tex] and [tex]y = -3[/tex]  into the first equation to solve for [tex]k[/tex]:

[tex]6x + 8y = k[/tex]

[tex]6(4) + 8(-3) = k[/tex]

[tex]24 - 24 = k[/tex]

[tex]k = 0[/tex]

Therefore, the value of [tex]k[/tex] is [tex]0[/tex], and the solution to the system is [tex](x, y) = (4, -3)[/tex]

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What are the answers for the boxes

Answers

Answer:

= 2x + 3

Step-by-step explanation:

have a nice day!! :)

FIND THE ERROR!!!!!!!!

Answers

Answer:

the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)

Step-by-step explanation:

HELP MEEEEE I REALLY NEED HELP

Answers

Answer:

they are vertical angles

Step-by-step explanation:

they are vertical angles.

PLEASE SOLVE THIS ITS URGENT ​

Answers

I am pretty sure that it should be D
the answer is D. 17 miles !!!!

A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?

Answers

In every triangle the sum of the three angles = 180°

If you have a right angled triangle it means one angle is 90°

So 90°+52.4°+ x = 180°

x=180-52.4-90
x=37.6°

Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Oy=7/3x +1
Oy= 3/7 x + 5
Oy= - 3/7 x + 2
Oy= -7/3 x + 6

Answers

Answer: y=3/7x + 5

Step-by-step explanation:

The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we know that,

In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:

m1 = -1/(m2)

where m1 and m2 are the slopes of the lines.

Write the given equation in slope-intercept form to identify the slope m1, as follow:

7x + 3y = -18 subtract 7x both sides

3y = - 7x - 18 divide by 3 both sides

y = -7/3 x - 6

remind that the general form of the equation of a line can be written as follow:

y = mx + b

where m is the slope. Based on the expression for y = -7/3 x - 6, you have

m1 = -7/3

then, calculate m2:

m2 = -1/(m1)

m2 = -1/(-7/3)

m2 = 3/7

Hence, it is necessary that the perpendicular line has a positive slope of 3/7.

From the given answer choices, you can notice that the only option with the required slope is:

y = 3/7 x + 5

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Please help! Thank you!

Answers

Answer:

X=sigma xi/no of observation

5= (?) /4

5*4=sum of all numbers

20=sum of all the observation

If you are helped by this answer pls tag me brianliest I really want it

THANK YOU.......

is 30x176 is three times larger than 10x176

Answers

Answer:

yes

Step-by-step explanation:

find the measure of angle b (image below)

Answers

Answer:

123+b=180 (being sum of straight angle)

b=180-123

b=57

5/8 - 2/9 × 3/8 fraction simplify quick please
We had a revision and I forgot can you help me ​

Answers

Answer:

ans is 13/25

Step-by-step explanation:

hope it helps!!!

it's all on the picture please answer ​

Answers

The answer is t = 60! :)
60. you add the 26 to the 34

Solve the system of equations.
14x + 5y = 31
2x – 3y = -29
2 =
y =

Answers

Answer:

X,y=83/52 ,45/26

Step-by-step explanation:

just  look up your answer and you will find the step by step. Hopefully this helped :)

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.

Answers

Answer:

Step-by-step explanation:

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.

An equation is shown below:

4(2x − 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

solution given:

4(2x − 5) = 4

2x-5=4/4

2x=1+5

x=6

Step-by-step explanation:

Part A:One

Part B:x=6

Choose the inequality that represents the following graph.

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The arrow is pointing to the right which means its greater than, and the circle is open so it doesn't include 4

which of the following phrases are equations
A 5=3m
B n>|-8|
c 2+6=(5-1)•2
D 8•(k+6
E 0<4+p

Answers

Answer:

all but D because it doesn't have an equals or inequality sign

Step-by-step explanation:

What is the value of W?

Answers

Answer:

w=5

Step-by-step explanation:

firstly angle SUT and angle SUV are congruent, hence:

w+10=3w

10=3w-w

10=2w

10/2=w

5=w

What is the area of a rectangle that is 1 1 4 1 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3 ​ start fraction, 3, divided by, 4, end fraction of a meter wide?

Answers

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9

Answers

Answer: The answer is b !

Hope the image helps

explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Answers

Answer:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Step-by-step explanation:

Given

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Required

Convert to radical form

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Evaluate the exponents

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]

Split the exponent

[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]

Apply the following law of indices

[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]

So, we have:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Solve the equation above for X

Answers

x = 4
hope this helps

Answer:

x=4

Step-by-step explanation:

Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8

8*1/8x=1/2*8

giving you 1x=4

Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. The data note the following sales per month: August-75 units, September-95 units, October-130 units. Assuming your sales continue to grow at the avereage rate they did between August and October, what will your sales be in November?


a) 90
b) 105
c) 106
d) 158

Answers

Answer:

158

Step-by-step explanation:

If the average rate between August and October was on an increase, then November sales will be 158.

What is Rate?

This is defined as the quantity or amount of something which is measured per unit of something else.

From the stock list, the average rate kept increasing which means option D is the most appropriate choice.

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La'Shawn buys the largest pizza he can find for his 16th birthday party. If he purchases the
mega pizza from Jin Jin's Biggest and Bestest Pizza and the pizza is cut into 12 equal slices with
a edge (arc) of 5.25 inches each, what is the diameter of the pizza? Round your answer to the
nearest inch.

Answers

Answer:

b

Step-by-step explanation:

How might we know whether x is a positive number, negative number, or zero, without solving the equation? 5x = -16.5​

Answers

To be able to get the negative number you have to divide x by a negative number to get your result. Seeing the solution is a negative number but your left side of the equation is a positive number tells us we have to divide by a negative number on the left side and right to give us the solution... (I think)

A restaurant sells 96 breakfast meals a day. If
75% of the breakfast meals are pancakes, how
many orders of pancakes does the restaurant
sell each day?

Answers

The answer is 72 pancakes. You would do 96 divided by 0.75

Answer:

72 pancakes

Step-by-step explanation:

The question basically asks you to:

Find 75% of 96

We can do this, by competing:

[tex]\frac{75}{100}[/tex] x 96 = [tex]\frac{3}{4}[/tex] x 96 = 3 x 24 = 72

Hope this helps.

A line is perpendicular to y = 3x - 8
and intersects the point (6, 1).
What is the slope of this
perpendicular line?
A. 3
B. 1/3
C. -3
D. -1/3

Answers

Answer:

D) -1/3

Step-by-step explanation:

Perpendicular slope (m) = -1/3

Perpendicular slopes are negative recipricals so:

3 ---> -1/3

Which do you pick and why? How much money do you end up with in each case?

Answers

Answer:

2

Step-by-step explanation:

Because if you get 1 per day there is 24 hours meaning there is going to be 17,280 in 30 days so you end up making more in 30 days by getting 1,000,000

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