Question

Line p passes through points (3, 3) and (5, 10). Line q is perpendicular to p. What is the slope of line q?

Answer 1

-2/7. You get the slope of the first line then you change the sign and flip it because it’s perpendicular to it.

Answer 2

Answer: m = -2/7

Explanation:

First, I am going to use the slope formula and find the slope:

`\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Put in the values:

`\sf{m=\cfrac{10-3}{5-3}}`

`\sf{m=\cfrac{7}{2}}`

That was the slope of line p. Now, we're also given that line q is perpendicular to line q.

Recall that perpendicular lines have slopes that have opposite reciprocals.

So, to find the slope of line q, we need to find the opposite reciprocal of the slope of line p, which is 7/2.

The opposite reciprocal of 7/2 is -2/7.

Therefore, the slope of line q is -2/7.