Question

A line with a slope of 7 passes through the points ( – 4,f) and ( – 3,2). what is the value of f?

Answer 1

f = - 5

Explanation:

calculate the slope m between the 2 points using the slope formula, then equate to the given slope of 7

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

let (x₁, y₁ ) = (- 4, f ) and (x₂, y₂ ) = (- 3, 2 )

substitute these values into the formula for m

m =
`(2-f)/(-3-(-4))` =
`(2-f)/(-3+4)` =
`(2-f)/(1)` = 2 - f , then equating to m = 7

2 - f = 7 ( subtract 2 from both sides )

- f = 5 ( multiply both sides by - 1 )

f = - 5