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 = [tex]\frac{y_{2}-y_{1} }{x_{2}=x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5)
m = [tex]\frac{5-0}{0+2}[/tex] = [tex]\frac{5}{2}[/tex]
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = [tex]\frac{5}{2}[/tex] x + 5 ← equation of line
