Question

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

Answer 1

Given:

The equation in point slope form is

`y-4=(3)/(4)(x+8)`

To find:

The equation of the same line in standard form.

Solution:

Standard form of a line is

`Ax+By=C`

We have,

`y-4=(3)/(4)(x+8)`

Multiply both sides by 4.

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

`4y-16=3x+24`

Isolate variable terms.

`-3x+4y=16+24`

`-3x+4y=40`

Multiply both sides by -1.

`3x-4y=-40`

Therefore, the correct option is B.