Answer:
y = [tex]\frac{2}{5}[/tex] x + 4
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 ) = (- 5, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line
m = [tex]\frac{4-2}{0-(-5)}[/tex] = [tex]\frac{2}{0+5}[/tex] = [tex]\frac{2}{5}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = [tex]\frac{2}{5}[/tex] x + 4 ← equation of line