Question

Please help I need this done!!

Answer 1

y = - 2x - 7

Explanation:

the equation of a line in slope- intercept form is

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

calculate the slope m , using the slope formula

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

let (x₁, y₁ ) = (- 5, 3) and (x₂, y₂ ) = (0, - 7) ← 2 points on the line

substitute these values into the formula for m

m =
`(-7-3)/(0-(-5))` =
`(-10)/(0+5)` =
`(-10)/(5)` = - 2

the line crosses the y- axis at (0, - 7 ) , then c = - 7

y = - 2x - 7 ← equation of line