Question

Whats the equation of the line that passes through (1,-3) and (4,6)

Answer 1

y = 3x - 6

Explanation:

Given:

x₁ = 1

y₁ = -3

x₂ = 4

y₂ = 6

`\boxed{(y-y_1)/(y_2-y_1)= (x-x_1)/(x_2-x_1) }`

`(y-(-3))/(6-(-3)) =(x-1)/(4-1)`

`(y+3)/(9) =(x-1)/(3)`

`(y+3)/(3) =x-1`

`y+3=3(x-1)`

`y=3x-6`