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Salsk061 [2.6K]
2 years ago
10

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

Answer:

3x-4y=-40

Step-by-step explanation:

The standard form of a linear equation is  ax+by=c.

The given line has equation:

y-4=\frac{3}{4}(x+8)

This is the point-slope form of the given line.

To find the standard form, we clear the fraction

4y-16=3(x+8)

We expand the parenthesis now to get:

4y-16=3x+24

We group the variables on the LHS and the constants on the RHS.

4y-3x=24+16

-3x+4y=40

Multiply through by -1

3x-4y=-40

This is of the form: ax+by=c.

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