Question

Find the slope of the parallel to each given line.

1) y=2/3x-2
2)y=9/5x-5


Find the slope of a line perpendicular to each given line

1)y=-1/2x-2
2)y=-x-1

Answer 1

Slopes of parallel lines are same, only the y-intercepts are different

Slopes of perpendicular lines are opposite reciprocals, which means when they are multiplied, it equals to -1.

1)
Parallel lines have the same slopes
y=mx+b where m is the slope

so the slope of a parallel line would be 2/3

2)
y=9/5x -5
slope will be 9/5

Next set of questions:

1) y=-1/2x - 2


`-(1)/(2) * x = -1 \to x = 2`

So that means the slope is 2

2) y=-x-1
Slope is -1, and we need to find the slope for a line perpendicular to it.


`-1 * x = -1 \to x=1`

So the slope is 1