Answer:
D
Step-by-step explanation:
Find the slope m of the graphed line using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (12, 6) ← 2 points on the line
m = [tex]\frac{6+4}{12-0}[/tex] = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
• Parallel lines have equal slopes, hence equation of parallel line in slope- intercept form is
y = [tex]\frac{5}{6}[/tex] x + b ( b is the y- intercept )
To find b substitute (12, - 2) into the equation
- 2 = 10 + b ⇒ b = - 2 - 10 = - 12
y = [tex]\frac{5}{6}[/tex] x - 12 ← equation of parallel line → D
