Answer:
y < x + 5
Step-by-step explanation:
Determine the equation of the broken line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5)
m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1
note the line crosses the y- axis at (0, 5) ⇒ c = 5
y = x + 5 ← equation of broken line
Thus y < x + 5 is the inequality for the graph
