Question

Find the missing value so that the line passing through the 2 points has the given slope.

(12, -12) and (7,y); slope: -3

Answer 1

y = 3

Explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

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

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m =
`(y-(-12))/(7-12)` =
`(y+12)/(-5)` = - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3