Question

given the eaquation y-4=3/4 (x+8) in the point-slope form, identify the equation of the same line in standard form.​

Answer 1

`\large\boxed{3x-4y=-48}`

Explanation:

The standard form of an equation of a line

`Ax+By=C`

We have the eqution 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+32` add 16 to both sides

`4y=3x+48` subtract 3x from both sides

`-3x+4y=48` change the signs

`3x-4y=-48`