Answer:
B
Explanation:
the first step is to find the equation of the line
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 =
let (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (3, 2) ← 2 points on the line
substitute these values into the formula for m
m =
=
=
=
the line crosses the y- axis at (0, - 2 ) , then c = - 2
y =
x - 2 ← equation of line
The solution to the inequality is in the blue region above the line
This is represented by the symbol >
Since the line is broken, this means points on the line are not a solution.
then the solution to the inequality is
y >
x - 2