Question

What is the slope of the line perpendicular to `y=6/5x-2`?

Answer 1

The slope of a line perpendicular is the negative reciprocal of the original slope. That's to say you invert the numerator and the denominator and multiply by -1.

Explanation:

Assuming `m_2` represents the new (perpendicular) slope.

`m_2` = `-5/6`

The perpendicular slope is `-5/6`

Here are a few exercises for your practice:

1. The following graph represents a linear function of the form y = bx + c, where b and c are whole numbers. Draw on the same grid the line of the function perpendicular to this function.

graph{y = 3x - 1 [-10, 10, -5, 5]}

1. Find the equations of the lines perpendicular to the following. Hint: First convert to slope intercept.

a) 4x - 4y = 8

b) 2x + 7y = -5

1. Is the following systems of equations parallel, perpendicular, or neither to each other?

2x + 3y = 6
3x + 2y = 6

Best of luck!