Find the slope of the line perpendicular to 8x−3y=−5

treallt5

treallt5

Answered question

2022-09-09

Find the slope of the line perpendicular to 8x−3y=−5

Answer & Explanation

Annie Wells

Annie Wells

Beginner2022-09-10Added 17 answers

To find the slope of the line perpendicular to any line l, you must first find the slope of l.

To find the slope of 8x−3y=−5, we manipulate it into slope-intercept form, y=mx+b.

8 x - 2 y = - 5
- 2 y = - 5 - 8 x
2 y = 5 + 8 x
y = 5 2 + 4 x
y = 4 x + 5 2

We see that the slope of our given line, then, is m=4. The slope of the line perpendicular to a line with slope m is given by m = - 1 m . So the slope we are looking for is m = - 1 m = - 1 4

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