Answer:
y = -2x + 8
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - Intercept point x
c - intercept of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 6) ( 3 ,2)
x1 = 1
y1 = 6
x2 = 3
y2 = 2
m = 2 - 6 / 3 - 1
m = -4/2
m = -2
y = -2x + c
Step 2: sub any of the two points given into the equation
y = -2x + c
( 3 ,2)
x = 3
y = 2
2 = -2(3) + c
2 = -6 + c
2 + 6 = c
c = 8
Step 3: sub c into the equation
y = -2x + c
y = -2x + 8
The equation of the line is
y = -2x + 8
