Respuesta :

Answer

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

Answer:

[tex]y = \frac{-3}{2}x - 15[/tex]  

Step-by-step explanation:

We are given the following information in the question:

We are given equation of line:

[tex]-3x-2y = 30[/tex]

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

[tex]y = mx +c[/tex]

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

Considering the given equation of the line:

[tex]-3x-2y = 30\\-2y = 3x + 30\\y = \displaystyle\frac{3x + 30}{-2}\\\\y = \frac{-3}{2}x - 15[/tex]

is the required form of line.

where the slope of the given line is m = [tex]\frac{-3}{2}[/tex] and y-intercept is c = -15