Question

The equation 3x – 2y = 18 is in slope intercept

form.
If the y variable was isolated, it would be in
1
form.
(Use all lowercase letters when writing the answers)

Answer 1

Given:

The equation is:

`3x-2y=18`

To find:

The slope intercept form of the given equation.

Solution:

Slope intercept form of a line is:

`y=mx+b`

Where, m is slope and b is y-intercept.

We have,

`3x-2y=18`

It is not in the slope intercept form.

We need to isolate variable y to get the slope intercept form.

The given equation can be rewritten as:

`-2y=-3x+18`

`y=(-3x+18)/(-2)`

`y=(-3x)/(-2)+(18)/(-2)`

`y=(3)/(2)x-9`

Therefore, the slope intercept form of the given equation is
`y=(3)/(2)x-9`.