Answer:
y = -1/2x + 6
Step-by-step explanation:
Find the slope
( 5 , 2) ( -3 , 6)
m =( y2 - y1 )/ ( x2 - x1)
x1 = 5
y1 = 2
x2 = -3
y2 = 6
m = ( 6 -2)/(-3 - 5)
m = 4/-8
m = - 1/2
Substitute m into the equation of a line
y = mx + c.
y = -1/2x + c
Substitute any of the two points given into the equation
Let's pick (2 ,5)
x = 2
y = 5
y = -1/2x + c
5 = -1/2(2) + c
5 = -1*2/2 + c
5 = -2/2 + c
5 = -1 + c
c = 5 + 1
c = 6
y = -1/2x + 6
The equation of the line is
y = -1/2x + 6
