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

−three fourthsx + y = 10

3x − 4y = −40

y = three fourthsx + 12

y = three fourthsx + 10

Respuesta :

Lampa20
[tex]y-4 = \frac{3}{4}*(x+8)[/tex]

To get standard form we need to move variables with their coefficients on one side and numbers on other side. Standard form looks like this:

Ax + By = C

y - 4 = 3x/4 +6
y - 3x/4 = 6+4
y - 3x/4 = 10
lublana

Answer:

[tex]3x-4y=-40[/tex]

Step-by-step explanation:

We are given that an equation

[tex]y-4=\frac{3}{4}(x+8)[/tex]

It is point- slope form.

We have to identify the equation of same line in standard form.

[tex]4(y-4)=3(x+8)[/tex]

Multiplication property of equality

[tex]4y-16=3x+24[/tex]

[tex]4y=3x+24+16[/tex]

Addition property of equality

[tex]3x-4y+40=0[/tex]

Subtraction property of equality

[tex]3x-4y=-40[/tex]

Subtraction property of equality

Hence, the standard form of the given equation is given by

[tex]3x-4y=-40[/tex]

Answer:[tex]3x-4y=-40[/tex]

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