Question

The points (8,0) and (-8,c) fall on a line with a slope of 1/8. What is the value of c?
c=

Answer 1

c = - 2

Explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (8, 0) and (x₂, y₂ ) = (- 8, c)

m =
`(c-0)/(-8-8)` =
`(c)/(-16)` =
`(1)/(8)`

cross- multiplying gives

8c = - 16 ( divide both sides by 2 )

c = - 2