Answer:
see explanation
Step-by-step explanation:
Since the lines are parallel they have the same slopes
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the line
m = [tex]\frac{7-6}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
Note the line crosses the y- axis at (0, 6) ⇒ b = 6
Thus
y = [tex]\frac{1}{2}[/tex] x + 6 ← equation of line m
Note for line n the line crosses the y- axis at (0, - 3) ⇒ b = - 3
Thus
y = [tex]\frac{1}{2}[/tex] x - 3 ← equation of line n
