ABCD is rectangle on a coordinate grid with side AB parallel to side CD. Side BC is perpendicular to AB. The slip of AB is 3/4.

Question

3 years ago

7

what is the slope of BC?

1 answer:

dybincka [34] · Answer 1 · 2022-02-10T13:49:51+03:00

The slope of BC is $\frac{-4}{3}$

Step-by-step explanation:

Let us revise some notes about slopes of lines

If two lines are parallel, then their slopes are equal
If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is $\frac{-1}{m}$

∵ ABCD is a rectangle

∵ AB // CD

∴ The slope of AB = the slope of CD

∵ BC ⊥ AB

∴ The slope of BC × the slope of AB = -1

∵ The slope of AB = $\frac{3}{4}$

- To find the slope of BC reciprocal the slope of AB and reverse its sign

∴ The slope of BC = $\frac{-4}{3}$

The slope of BC is $\frac{-4}{3}$

Learn more:

You can learn more about the slope in brainly.com/question/9801816

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