Question

Which of the following is equation of the line through (2,3) and (-1,-12)

Answer 1

y = 5x - 7

Explanation:

(x₁ , y₁) = ( 2 , 3) & (x₂ , y₂) = (-1 , -12)

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

`=(-12-2)/(-1-2)\\\\=(-15)/(-3)\\\\=5`

m = 5 & (x₁ , y₁) = ( 2 , 3)

Equation of the line: y - y₁ = m(x -x₁)

y - 3 = 5(x - 2)

y - 3 =5x - 2*5

y - 3 = 5x - 10

y = 5x - 10 + 3

y = 5x - 7