Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)

Answers

Answer 1

Answer:

point - slope form

 y - 1 = 3 (x-0)

Step-by-step explanation:

step(i):-

Given points are (0,1) and (2,7)

The slope of the line

     [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

    [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2} = 3[/tex]

  m =3

Step(ii):-

point -slope form

   y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

   y - 1 = 3 (x-0)

  y -1 = 3x

 3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0


Related Questions

write the expression in expanded form that is equivalent to 3(7d +4e)

Answers

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

Answer:

21d+12e

Step-by-step explanation:

I'm pretty sure thats it if its expanding.

−1/5(x−4)=−2 Please help me fast

Answers

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

What is the slope of a line perpendicular to the line whose equation is x-y=6

Answers

Answer:

1

hope this helps!!:)

Step-by-step explanation:

Can please thank you

Answers

Answer:

She would need to work at least 11.363636 hours

Step-by-step explanation:

475+11x≥600

11x≥600-475

11x≥125

x≥125÷11

x≥ 11.363636

Determine how, if possible, the triangles are similar. PLS SOLVE ASAP

Answers

Answer: They are both scalene triangles

Step-by-step explanation: look at the types of triangle

Answer:

not similar

Step-by-step explanation:

They are so not similar

What is the equation of a line through (6, 8) and (3,-1)
in slope intercept form y=mx+b?

Answers

The answer is y=3x-10

A can of dog food is on sale for 20% off the original price if the price is $1.35 what’s the discount

Answers

Answer:

Canned dog food is on sale for 20% off the original price. What is the discount of a can if the original price is $1.35

Discount is 20% of original price

Discount=20% * Original Price

=0.20*1.35

Discount=$0.27

A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props?

Answers

Answer:

They spent 112 dollars on props.

The required total 16% spend on the props is $112.

Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.

What are percentages?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.



A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
                                       = $ 112

Thus, the required total 16% spend on the props is $112.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

PLEASE HELP. Mr. Washington made several purchases for his printing business. The mean price of the purchases was $150, and the mean absolute devlatlon was $30 . Based on this informaton, which statement must be true?

Answers

Answer:

the 4th statement

Step-by-step explanation:

The triangle is rotated 90° clockwise around the point (0,0).

What will be the coordinates of the image of point L after the rotation?

Answers

Answer:

(2, 6)

Step-by-step explanation:

You can see visually that if the point (-6, 2) is rotated 90° clockwise, the resulting position will be (2, 6)

An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.

Answers

Answer:

ok keep going more questions cause ido t get it what u trying to ask

What’s the question? Is it supposed to be how much she gained in her raise? If so, she gained $1.17 in her raise.

Solve for x. 0.6x = 1.2x + 6

Answers

Step-by-step explanation:

0.6x- 1.2x = 6

-0.6x = 6

x = 6/0.6

x = -10

find answer pleasee AND EXPLAIN IT FOR BRAINLIEST

Answers

Answer:

thing is, when that thing is multiplied by 2, the divide by 2 (the fraction), cancels, so it becomes 5 sqrt 2

Step-by-step explanation:

plz brainliest :)

HELPPPPPPPP DUE TODAYYYY!!!!!!!!!!!!! WORTH 30 POINTS!!!!!!!!!

Answers

Answer:

4.5

Step-by-step explanation:

Please help with this

Answers

Answer:

65

Step-by-step explanation:

Find the value of x so that the function has the given value.

r(x)=−45x+7; r(x)=−5

Answers

Answer:

x = 3

Step-by-step explanation:

j(x) = 4/5(-5) + 7

= -4 + 7

= 3

fh+2g=t. solve for g ​

Answers

Step-by-step explanation:

2g = t -fh

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

An elevator travels 310 feet in 10 seconds. how far can this elevator travel in 12 seconds?​

Answers

Answer:

372 ft

Step-by-step explanation:

310 divided by 10 is 31 and 31x12 is 372

Answer:

372 feet

Step-by-step explanation:

31 feet per second

For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7

Answers

Answer:

The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let [tex]2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7[/tex], if this linear system has infinitely many solutions, then the following conditions must be met:

[tex]-1\cdot h = 2[/tex] and [tex]k = 5[/tex].

[tex]h = -2[/tex] and [tex]k = 5[/tex]

The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.

Help me! I’ll mark you brainly!

Answers

Use FOIL to expand and simplify:

Anthony's Locker:

A = (x + 4)(x + 2)

= x^2 + 2x + 4x + 8

= x^2 + 6x + 8 ft^2 (H)

Anthony's Math Book:

A = (x + 6)(x - 3)

= x^2 - 3x + 6x - 18

= x^2 + 3x - 18 in^2 (V)

Anthony's Lunch Box:

A = (x - 9)(x - 2)

= x^2 - 2x - 9x + 18

= x^2 - 11x + 18 in^2 (L)

Anthony's Desk:

A = (x - 5)(x + 2)

= x^2 + 2x - 5x - 10

= x^2 - 3x - 10 ft^2 (M)

Answer: What did he sayyyy

Step-by-step explanation:

I do not know hahaha

please!!! help me which one is ???

Answers

Answer:

The answer is 150 degrees because you add 100 to the 50.

Step-by-step explanation:

The graph shows how many bottles a machine caps in a certain number of seconds.

A graph showing number of bottles capped on the y axis and number of seconds on the x axis. A line begins at the origin and passes through the points 15 comma 300, 30 comma 600, and 45 comma 900.

Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.

The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.Which of the following is an ordered pair on the graph? What does it represent in this situation?



(45, 90); the machine caps 45 bottles in 90 seconds.



(45, 900); the machine caps 45 bottles in 900 seconds.



(45, 900); the machine caps 900 bottles in 45 seconds.



(900, 45); the machine caps 900 bottles in 45 seconds.

Answers

Answer:

The machine caps 900 bottles in 45 seconds

Step-by-step explanation:

15/300 is equal to 45/900

Frank invests $5100 for 8 years at a simple interest rate of 5%. How much interest will he earn? What will his total value be?

Answers

Answer:

A = P(1 + r)t

Step-by-step explanation:

Or this formula:

[tex]A = P(1 + \frac{r}{n} )[/tex]

A total of 817 tickets were sold for the play. They were either adult or student tickets. There were 67 more student tickets sold than adults. How many adult tickets were sold?

Answers

Answer:

375

Step-by-step explanation:

"817 tickets were sold"

a and s are the number of adults and students, respectively.

a+s = 817

s = 817-a

"67 more student tickets sold than adults"

s = a+67

817-a = a+67

750 = 2a

a = 375

375.

817 minus 67 = 750÷2=375

eff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?

A. 272.5 miles
A. 272.5 miles

B. 267.5 miles
B. , 267.5 miles,

C. 270 miles
C. 270 miles

D. 337 miles

Answers

Answer:

267.5 miles

Step-by-step explanation

65×2.5=162.5                

70×1.5=105

162.5+105=267.5

                               267.5

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answers

Only A is a linear function because B is not a straight line.
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3

5=5/3*3+b

b=0

Y=5/3x

Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

[tex]\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)[/tex]

           [tex]= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\[/tex]

The value of the coordinates are [tex]3, 0, 2[/tex] . so, the equation of the line is:

[tex]\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k[/tex]

WHAT IS THE EQUATION OF THE LINES IN SLOPE -INTERCEPT FORM ?

Answers

Answer:

y=3x+0

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

formula = y = mx + b

m = slope

b = y-intercept (but we dont see it here, it goes through the point 0)

To find slope do rise over run ( y/x)

r/r = 3/1 = 3

The slope is 3

y = 3x or y = 3x + 0 (same thing)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Wyatt is enlarging a rectangular drawing using a scale factor of 2.5.
7.4 in
5 in

Answers

It is 2.4 x 2.5 which equals 6 the answer is 6

What is 37494964937478 Divided by? No your not allowed to answer one, whoever gets it right gets brainliest!

Answers

Answer:

3

Step-by-step explanation:

I think all the digits added together is 84 if I counted right which can be divided by 12 so the number can be divided by 3

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