Question

The points ( - 6,4) and ( - 5,u) fall on a line with a slope of - 7. What is the value of u?

Answer 1

u = - 3

Explanation:

Calculate the slope m using the gradient formula

m =
`\frac{y_{2-y_(1) } }{x_{2-x_(1) } }`

with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 5, u)

m =
`(u-4)/(-5+6)` =
`(u-4)/(1)` = - 7, hence

u - 4 = - 7 ( add 4 to both sides )

u = - 3