Question

A line goes through the points (7, 3) and (-1, 5). Write the equation of the line in Point-Slope form. Show your work. Circle your answer.
20 pts and brainliest. please help me on this

Answer 1

Answer:

y-3= -1/4 x (x-7)

Step-by-step explanation:

Find the slope of the line between  

( 7 , 3 )  (7,3)  and  ( − 1 , 5 )  (-1,5)  using  m = y 2 − y 1 x 2 − x 1

m=y2-y1x2-x1 , which is the change of  y/ y  over the change of  x/ x .

Hope this helps! Have a nice day!❤

Answer 2

Answer:

The equation of the line is 4y = -x + 19

Step-by-step explanation:

Firstly, we need to get the slope of the line;

Since it is through two points; we have the slope as;

y2-y1/x2-x1 = (5-3)/(-1-7) = 2/-8 = -1/4

Mathematically, we can write the equation of a straight line line as;

y = mx + c

So we have;

y = -1/4x + c

y = -x/4 + c

To complete the equation, we need the value of c.

we can choose any of the points and insert the x and y value

Thus;

3 = -7/4 + c

c = 3 + 7/4

c = 19/4

So our equation becomes;

y = -x/4 + 19/4

Multiply through by 4

4y = -x + 19