Answer:
[tex]y=-\frac{3}{2}x-3[/tex]
Step-by-step explanation:
The slope-intercept form is written as y= mx +c, where m is the slope and c is the y-intercept.
For the equation to be in the slope-intercept form, first leave the y term on the left-hand side of the equation and bring the rest to the right-hand side.
2y= -3x -6
Ensure that the coefficient of y is 1. In this question, we can divide both sides of the equation by 2 to achieve the slope-intercept form.
[tex]y=\frac{-3x}{2}-\frac{6}{2}[/tex]
Simplify:
[tex]\bf{y=-\frac{3}{2}x-3 }[/tex]
Additional:
For more questions on slope-intercept form, do check out the following!