Question

Find the slope and $y$-intercept of the line $2x+2y=-2$

• A. slope = 1, y-intercept $=-3$
• B. slope = -1, y-intercept $=-1$
• C. slope = 1, y-intercept $=3$
• D. slope = 1, y-intercept $=1$

Answer 1

Answer: (B)

slope = -1, y-intercept $=-1$

The slope intercept form of the line is $y=mx+c$, where $m$ is the slope of the line and $c$ is the $y$-intercept.

Change the equation $2x+2y=-2$ in slope intercept form:

$2x+2y=-2$

$\Rightarrow 2y=-2x-2$

$\Rightarrow y=-x-1$

Hence, the slope of the line $2x+2y=-2$ is $m=-1$ and the $y$-intercept is $-1$.