Question

A line has a slope of -4 and includes the points (-3, p) and (-4,0). What is the value of p?

Answer 1

p = - 4

Explanation:

Calculate the slope m using the slope formula and equate to - 4

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

with (x₁, y₁ ) = (- 3, p ) and (x₂, y₂ ) = (- 4, 0 )

m =
`(0-p)/(-4-(-3))` =
`(-p)/(-4+3)` =
`(-p)/(-1)` = p = - 4