Answer:
y = -3/2x +7/2
Explanation:
When we have two points, we need to find the slope.
Slope is given by
m = (y2-y1)/ (x2-x1)
= (5--1)/ (-1-3)
= (5+1)/ (-4)
= 6/-4
= -3/2
We have the slope and a point
Using the point slope form of a line
y-y1 = m(x-x1)
y--1 = -3/2( x-3)
y+1 = -3/2(x-3)
They usually want the line written in slope intercept form (y=mx+b)
Distribute the -3/2
y+1 = -3/2x +9/2
Subtract 1
y+1-1 = -3/2x +9/2 -2/2
y = -3/2x +7/2