Answer:
y = 4/5x -3
Step-by-step explanation:
in order to do this :
firstly , find the midpoint of the points.
use the formula :
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
= [tex]\frac{-5 + 5}{2} , \frac{-7 + 1}{2}[/tex]
midpoint =(0 , -3)
secondly , get the gradient
use the formula :
[tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{1-(-7)}{5-(-5)}[/tex]
=[tex]\frac{8}{10}[/tex]
simplified to 4/5
gradient = 4/5
Thirdly , create the equation
formula for the equation of a line
(Y-y1) = m( X-x1)
now use the values of the midpoint and the gradient(m)
y +7 = 4/5 (x + 5)
y = 4/5x + 4-7
y = 4/5x -3
