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Gennadij [26K]
4 years ago
6

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

Mathematics
2 answers:
Sloan [31]4 years ago
7 0
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
allsm [11]4 years ago
5 0

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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