Question

Write an equation of the line, in pointslope form, that passes through the two given points. points: (–2, 15), (9, –18)

Answer 1

Slope (m) =
`(y2 - y1)/(x2 - x1)`

=
`(15 + 18)/(-2 - 9)`

=
`(33)/(-11)`

= -3

y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and m is the slope

y - 15 = -3(x + 2)

y - 15 = -3x - 6

y = -3x + 9