Question

How do you find the parallel and perpendicular slope of 3x-5y=-8?

Answer 1

Parallel slope = `3/5` and the perpendicular slope = `-5/3`

Explanation:

Change the equation of the line into standard form `y = mx +c`

`3x -5y = -8`

`3x +8 = 5y`

`y = 3/5x +8/5`

The slope of this line is `3/5`

Parallel lines have the same slope, so any line parallel to this one will have a a slope `m = 3/5`

If lines are perpendicular, their slopes are negative reciprocals of each other and we can show:

`m_1 xx m_2 = -1`

To find the negative reciprocal, turn the slop upside down and change the sign.

So, for `m_1 = 3/5, " "m_2 = -5/3`