Answer:
y = [tex]\frac{3}{4}[/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 ) = (0, 5) and (x₂ , y₂ ) = (4, 8)
m = [tex]\frac{8-5}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]
Note the line crosses the y- axis at (0, 5) ⇒ c = 5
y = [tex]\frac{3}{4}[/tex] x + 5 ← equation in slope- intercept form
