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In the diagram, △ABC∼△CDE. Write an equation for line k

In the diagram, △ABC∼△CDE. Write an equation for line k-example-1
User Dylanjha
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1 Answer

6 votes

Answer:

Explanation:

Line AB is parallel to line CD (k) so they have the same slope.

slope=m=(y2-y1)/(x2-x1)

m=(6-0)/(4-0)

m=6/4=1.5

y=mx+b, we know m=1.5 so

y=1.5x+b, and we know it passes through point (4,0) so we can solve for b

0=1.5(4)+b

0=6+b

b=-6 so line k is

y=1.5x-6

User Shu
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