Question 8 (1 point)Write the slope-intercept form of the equation3x+6y=12MathMLXBlank 1:

The slope is -1/2 while the y-intercept is 2
Here, we want to get the slope and the y-intercept
The first thing we have to do here is to express the given equation in the general form
The general form of the equation of a straight line is;
[tex]y\text{ = mx + b}[/tex]where m is the slope and b is the y-intercept
We can rearrange the equation using the following steps;
[tex]\begin{gathered} 6y\text{ = -3x + 12} \\ \\ y\text{ = }\frac{-3x}{6}\text{ + }\frac{12}{6} \\ \\ y\text{ =}-\frac{1}{2}x\text{ + 2} \end{gathered}[/tex]Comparing this with the general form, the slope is -1/2 while the y-intercept is 2