Answer:
y = - [tex]\frac{2}{3}[/tex] x - 7
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 + 12 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{2}{3}[/tex] x - 7 ← equation of parallel line
