Question

What is an of the line that passes through the points (4,-4) and (-4,4)

Answer 1

y = -x + 0

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