Question

Please help I’ll give you brainiest

Answer 1

B

Establish the equation of the line in slope-intercept form

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

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (- 3, - 3 ) and (x₂, y₂) = (3, - 1) ← 2 points on the line

m = $\frac{-1+3}{3+3}$ = $\frac{2}{6}$ = $\frac{1}{3}$

the y-intercept is (0 , - 2 ) ⇒ c = - 2

y = $\frac{1}{3}$ x - 2 ← equation of line

This is a strict inequality since the line is broken, hence

y > $\frac{1}{3}$ x - 2 → B