Answer:
y = [tex]\frac{3}{4}[/tex] x + 2
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 ) = (- 4, - 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2+1}{0+4}[/tex] = [tex]\frac{3}{4}[/tex]
Note the line crosses the y- axis at (0, 2 ) ⇒ c = 2, thus
y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line
