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# Find the equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C m=8/5,(4,-3)?

### 3 Answers

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- MichaelLv 74 weeks ago
Slope intercept form is

y = mx + b

Plug in the givens to find "b"

-3 = (8/5)(4) + b

-3 = 32/5 + b

-15/5 = 32/5 + b

subtract 32/5 from both sides

-47/5 = b

Slope intercept form becomes

y = (8/5)x - 47/5

multiply both sides by 5

5y = 8x - 47

Subtract 5y from both sides

0 = 8x - 5y - 47

Add 47 to both sides

47 = 8x - 5y

Flip

8x - 5y = 47 <–––––

- L. E. GantLv 74 weeks ago
(y + 3)/(x - 4) = 8/5

==> 5(y+3) = 8(x-4)

==> 5y + 15 = 8x - 32

==> -8x + 5y = -47

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