Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

12x-20y= 60

help I need the answer

Answer 1

`y = (3)/(5)x - 3`

Explanation:

To put this equation into slope-intercept form, we need to isolate y on one side of the equation.

First, we should move 12x to the right side of the equation. To do this, we need to subtract 12x from both sides.

12x - 20y - 12x = -20y (12x and -12x cancel out)

60 - 12x

We are left with;

-20y = 60 - 12x

To isolate y, we need to divide all the terms by -20.

-20y/-20 = y

60/-20 = -3

12x/-20 =
`(12)/(20)x`

`(12)/(20)` can be simplified to
`(3)/(5)`

So, the equation we are left with is;

`y = (3)/(5)x - 3`

Hope this helps!