Answer:
y = [tex]\frac{3}{4}[/tex] x + 9
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 )
here m = [tex]\frac{3}{4}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 3) into the partial equation
3 = - 6 + c ⇒ c = 3 + 6 = 9
y = [tex]\frac{3}{4}[/tex] x + 9 ← equation of line
