Answer:
y = [tex]\frac{2}{3}[/tex] x + 6
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 )
y = [tex]\frac{2}{3}[/tex] x ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and c = 0
Parallel lines have equal slopes , thus
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 6, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = [tex]\frac{2}{3}[/tex] x + 6 ← equation of parallel line
