Answer:
Step-by-step explanation:
Part A: Slope of parallel lines are equal.
4x - 3y - 7 = 0 ⇔ y = [tex]\frac{4}{3}[/tex] x - [tex]\frac{7}{3}[/tex]
m = [tex]\frac{4}{3}[/tex]
y - 3 = [tex]\frac{4}{3}[/tex] ( x + 2 ) ⇔ y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{17}{3}[/tex] ⇔ 4x - 3y + 17 = 0
Part B: Slope of perpendicular lines are opposite reciprocal.
[tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1
[tex]m_{1}[/tex] = [tex]\frac{4}{3}[/tex]
[tex]m_{2}[/tex] = - [tex]\frac{3}{4}[/tex]
y - 3 = - [tex]\frac{3}{4}[/tex] ( x + 2 ) ⇔ y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ⇔ 3x + 4y - 6 = 0
