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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

Verified Answer :

Lampa20

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

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:

\(3x-4y=-40\)

Step-by-step explanation:

We are given that an equation

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

It is point- slope form.

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

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

Multiplication property of equality

\(4y-16=3x+24\)

\(4y=3x+24+16\)

Addition property of equality

\(3x-4y+40=0\)

Subtraction property of equality

\(3x-4y=-40\)

Subtraction property of equality

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

\(3x-4y=-40\)

Answer:\(3x-4y=-40\)

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