Question

A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=

Answer 1

g = 6

Explanation:

Calculate the slope m using the slope formula and equate to 2

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)

m =
`(4-g)/(9-10)` =
`(4-g)/(-1)` = 2 ( multiply both sides by - 1 )

4 - g = - 2 ( subtract 4 from both sides )

- g = - 6 ( multiply both sides by - 1 )

g = 6