Question

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Answer 1

Answer:

Step-by-step explanation:

Part A: Slope of parallel lines are equal.

4x - 3y - 7 = 0 ⇔ y = $\frac{4}{3}$ x - $\frac{7}{3}$

m = $\frac{4}{3}$

y - 3 = $\frac{4}{3}$ ( x + 2 ) ⇔ y = $\frac{4}{3}$ x + $\frac{17}{3}$ ⇔ 4x - 3y + 17 = 0

Part B: Slope of perpendicular lines are opposite reciprocal.

$m_{1}$ × $m_{2}$ = - 1

$m_{1}$ = $\frac{4}{3}$

$m_{2}$ = - $\frac{3}{4}$

y - 3 = - $\frac{3}{4}$ ( x + 2 ) ⇔ y = - $\frac{3}{4}$ x + $\frac{3}{2}$ ⇔ 3x + 4y - 6 = 0