The slope of BC is [tex]\frac{-4}{3}[/tex]
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 [tex]\frac{-1}{m}[/tex]
∵ 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 = [tex]\frac{3}{4}[/tex]
- To find the slope of BC reciprocal the slope of AB and reverse its sign
∴ The slope of BC = [tex]\frac{-4}{3}[/tex]
The slope of BC is [tex]\frac{-4}{3}[/tex]
Learn more:
You can learn more about the slope in brainly.com/question/9801816
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