Answer:
D
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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)
m = [tex]\frac{10-4}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
note the line passes through (0, 4) ⇒ c = 4
y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line → D
