Question

Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicular) is _____​

Answer 1

The parallel line has slope
`(20)/(7)`

The perpendicular line has slope
`-(7)/(20)`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

`7y = 20(x-3)`

Placing it in the general format

`7y = 20x - 60`

`y = (20x)/(7) - (60)/(7)`

So this line has slope
`(20)/(7)`

Parallel line:

Same slope, so the parallel line has slope
`(20)/(7)`

Perpendicular line:

Multiplication of the slopes is -1. So

`(20m)/(7) = -1`

`20m = -7`

`m = -(7)/(20)`

The perpendicular line has slope
`-(7)/(20)`