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Lorico [155]
3 years ago
13

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

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Given:

The equation in point slope form is

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

To find:

The equation of the same line in standard form.

Solution:

Standard form of a line is

Ax+By=C

We have,

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

Multiply both sides by 4.

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

4y-16=3x+24

Isolate variable terms.

-3x+4y=16+24

-3x+4y=40

Multiply both sides by -1.

3x-4y=-40

Therefore, the correct option is B.

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The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:

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