Question

The points (10,v) and (6,6) fall on a line with a slope of 1. What is the value of v?

Answer 1

v = 10

Explanation:

Using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, v) and (x₂, y₂ ) = (6, 6)

m =
`(6-v)/(6-10)` =
`(6-v)/(-4)`, equating gives

`(6-v)/(-4)` = 1 ( multiply both sides by - 4 )

6 - v = - 4 ( subtract 6 from both sides )

- v = - 10 ( multiply both sides by - 1 )

v = 10