Answer:
y = 9/-2x - 27
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1 : find the slope
Given two points
( 8 , -4) ( 6 ,5)
m = y2 - y1 / x2 - x1
x1 = 8
y1 = -4
x2 = 6
y2 = 5
m = 5 - (-4) / 6 - 8
m = 5 + 4 / 6 - 8
m = 9 / -2
= 9/-2
y = mx + c
y = 9/-2x + c.
Step 2 : substitute any of the two points given into the equation
let's pick ( 6 ,5)
x - 6
y - 5
y = 9/-2x + c
5 = 9/-2(6) + c
5 = 9* 6 / -2 + c
5 = 54/-2+ c
c = -27
y = 9/-2x - 27
The equation of the line is
y = 9/-2x - 27
