Find the slope of a line that is parallel and perpendicular to the given line. 10 pts please explain.?

Question

1. y = 3/5x - 8
2. y = -3x + 1

Answer 1

General form of slope intercept form of line is y = mx + c

Here slope = m and y-intercept = c

1)y = 3/5 x - 8

Here slope m1 = 3/5

If two lines are parallel then the required line slope is m2 = m1

Therefore parallel slope is m2 = 3/5

If two lines are perpendicular then the required line slope is m2 = -1/m1

Therefore perpendicular slope is m2 = -1/(3/5)

                                                           = -5/3

2)y = -3x + 1

Here slope m1 = -3

If two lines are parallel then the required line slope is m2 = m1

Therefore parallel slope is m2 = -3

If two lines are perpendicular then the required line slope is m2 = -1/m1

Therefore perpendicular slope is m2 = -1/(-3)

                                                          = 1/3