Question

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

Answer 1

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

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

Answer 2

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:$3x-4y=-40$