Question

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Answer 1

Explanation:

Part A: Slope of parallel lines are equal.

4x - 3y - 7 = 0 ⇔ y =
`(4)/(3)` x -
`(7)/(3)`

m =
`(4)/(3)`

y - 3 =
`(4)/(3)` ( x + 2 ) ⇔ y =
`(4)/(3)` x +
`(17)/(3)` ⇔ 4x - 3y + 17 = 0

Part B: Slope of perpendicular lines are opposite reciprocal.

`m_(1)` ×
`m_(2)` = - 1

`m_(1)` =
`(4)/(3)`

`m_(2)` = -
`(3)/(4)`

y - 3 = -
`(3)/(4)` ( x + 2 ) ⇔ y = -
`(3)/(4)` x +
`(3)/(2)` ⇔ 3x + 4y - 6 = 0