Question

A line has a slope of 1 9 and includes the points ( – 6,z) and (3,1). What is the value of z?

Answer 1

z = - 170

Explanation:

Calculate the slope m using the slope formula and equate to 19

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (- 6, z)

m =
`(z-1)/(-6-3)` =
`(z-1)/(-9)` = 19 ( multiply both sides by - 9 )

z- 1 = - 171 ( add 1 to both sides )

z = - 170