Answer:
y = [tex]\frac{5}{2}[/tex] x + 5
Step-by-step 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5)
m = [tex]\frac{5-0}{0+2}[/tex] = [tex]\frac{5}{2}[/tex]
Note the line crosses the y- axis at (0, 5) ⇒ c = 5
y = [tex]\frac{5}{2}[/tex] x + 5 ← equation in slope- intercept form
