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dybincka [34]
2 years ago
14

Y-3=5(x-2) what are the intercepts t of x and y x=(_,_) y=(_,_)

Mathematics
1 answer:
yan [13]2 years ago
4 0

The\ x\ intercept\ is\ (\frac{7}{5}, 0)

The y intercept is (0, -7)

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y - 3 = 5(x - 2)

<em><u>Find the x intercept</u></em>

Substitute y = 0 in given equation

0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = \frac{7}{5}\\\\Thus\ the\ x\ intercept\ is\ (\frac{7}{5}, 0)

<em><u>Find the y intercept:</u></em>

Substitute x = 0 in given equation

y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7

Thus the y intercept is (0, -7)

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see the attached figure to better understand the problem

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