Question

PLEASE HELP ILL MARK YOU BRAINILY!!!!!

Answer 1

y = -
`(1)/(3)` x - 5

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 ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7) ← 2 points on the line

m =
`(-7-(-3))/(6-(-6))` =
`(-7+3)/(6+6)` =
`(-4)/(12)` = -
`(1)/(3)`

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = -
`(1)/(3)` x - 5 ← equation of line