Question

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

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:

$-2y=-3x+18$

$y=\dfrac{-3x+18}{-2}$

$y=\dfrac{-3x}{-2}+\dfrac{18}{-2}$

$y=\dfrac{3}{2}x-9$

Therefore, the slope intercept form of the given equation is $y=\dfrac{3}{2}x-9$.