Answer:
y = 3/5x -4/5
Explanation:
We first need to find the slope
m = (y2-y1)/ (x2-x1)
=(-5-1)/(-7 -3)
= -6/-10
= 3/5
We can put this into the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 3/5x +b
Using one of the point
1 = 3/5(3) +b
1 = 9/5 +b
Subtract 9/5 from each side
5/5-9/5 =9/5-9/5+b
-4/5 =b
Putting this back into the equation
y = 3/5x -4/5