Question

What is the equation of the line –3x–2y=30 in slope-intercept form?

Answer 1

`y = (-3)/(2)x - 15`

Explanation:

We are given the following information in the question:

We are given equation of line:

`-3x-2y = 30`

The slope intercept form of a straight line is given by:

`y = mx +c`

where m is the slope of the line and c is the y intercept of the line.

Considering the given equation of the line:

`-3x-2y = 30\\-2y = 3x + 30\\y = \displaystyle(3x + 30)/(-2)\\\\y = (-3)/(2)x - 15`

is the required form of line.

where the slope of the given line is m =
`(-3)/(2)` and y-intercept is c = -15

Answer 2

y = (-3/2)x - 15

Explanation

The general linear equal in slope intercept form is y = mx + c.

Where m is the slope and c is the y-intercept.

–3x–2y=30 in slope-intercept form

–3x–2y=30

-2y = 3x + 30

y = (-3/2)x - 15