Question

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. what is the slope of BC?

Answer 1

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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