In the diagram, is a diameter of circle o. if the slope of is , what is the slope of ?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 438 People

In the diagram, AC is a diameter of circle O. If the slope of BC is -1/2 , what is the slope of AB?
See attachment.

Answered by maham237 @ 25/12/2020

we have that

ABC is a right triangle

AB is perpendicular to BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$m1*m2=-1$

in this problem

$mAB*mBC=-1$

solve for mAB

$mAB=-\frac{1}{mBC} \\ \\ mAB=-\frac{1}{-\frac{1}{2}} \\ \\ mAB=2$

therefore

the answer is

the slope of AB is equal to $2$

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