# Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B and C are integers.

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Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B and C are integers.

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Step 1

First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y= mx+b. help_outlineImage Transcriptioncloseу%3D тх + b 3 — у %3D—х +(-1) 4 3 — у %3D—х —1 4 fullscreen
Step 2

In order to get rid fraction 3/4, we need to multiply each term by 4.

Multiplying both sides by 4, we get 4y=3x-4.

Now, subtracting 3x on ... help_outlineImage Transcriptionclose3 4 Multiplying both sides by 4 3 4.y 4.x-1-4 4 4y 3x -4 Subtracting 3x on both sides 4y 3r 3x - 4 -3x 3.x 4y-4 Divide each term by -1 -3х 4у -4 -1 -1 -1 3x - 4y 4 fullscreen

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### Algebra 