Question

Write an equation for the line that passes through the given point
1. (-3,1), (0,-8)

Answer 1

y = - 3x - 8

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, - 8)

m =
`(-8-1)/(0+3)` =
`(-9)/(3)` = - 3

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = - 3x - 8 ← equation of line

Answer 2

y=-3x-8

Explanation:

that's the answer