Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+2y=-8
To put the equation 2x + 2y = -8 in slope-intercept form, which is of the form y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
2x + 2y = -8
First, let's subtract 2x from both sides of the equation to isolate the term with y:
2y = -2x - 8
Next, divide both sides of the equation by 2 to solve for y:
y = (-2/2)x - 8/2
Simplifying the equation:
y = -x - 4
Therefore, the equation 2x + 2y = -8 can be written in slope-intercept form as y = -x - 4.