Question

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

Answer 1

`3x-4y=-40`

Explanation:

We are given that an equation

`y-4=(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`

Answer 2

`y-4 = (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