Answer:
y = -x + 0
Step-by-step explanation:
The equation of the line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 4 , -4) ( -4 , 4)
x1 = 4
y1 = -4
x2 = -4
y2 = 4
Insert the values into the equation
m = 4 - (-4) / -4 - 4
m = 4 + 4 / -4 - 4
m = 8 / -8
m = -1
y = -1x + c
y = -x + c
Step 2: sub any of the two points given into the equation
y = -x + c
( 4 , -4)
x = 4
y = -4
-4 = -(4) + c
-4 = -4 + c
-4 + 4 = c
c = 0
Step 3: sub c into the equation
y = -x + c
y = -x + 0
Therefore the equation of the line is
y = -x + 0
