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

3x - 4y = -40

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

We have the equation of the line in the point-slope form:

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

Convert it to the standard form:

`y-4=(3)/(4)(x+8)` multiply both sides by 4

`4y-16=3(x+8)` use the distributive property

`4y-16=3x+24` add 16 to both sides

`4y=3x+40` subtract 3x from both sides

`-3x+4y=40` change the signs

`3x-4y=-40`