Question

A line passes through the points (3,-12) and

(6, K). The slope of the line is -2. Determine
the value of K.

Answer 1

k = - 18

Explanation:

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

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

with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)

m =
`(k+12)/(6-3)` =
`(k+12)/(3)` = - 2 ( multiply both sides by 3 )

k + 12 = - 6 ( subtract 12 from both sides )

k = - 18