Answer:
y = 3x + 5
Step-by-step explanation:
In the interval - 2 ≤ x ≤ 0 the graph is a straight line.
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5+1}{0+2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
The line intercepts the y- axis at (0, 5) ⇒ c = 5
y = 3x + 5 ← equation for - 2 ≤ x ≤ 0
