Question

Find the slope and $y$-intercept of the line $x-y=3$

• A. slope $=2$, $y$-intercept $=-3$
• B. slope $=0$, $y$-intercept $=-3$
• C. slope $=1$, $y$-intercept $=-3$
• D. slope $=1$, $y$-intercept $=3$

Answer 1

The correct option is C slope $=1$, $y$-intercept $=-3$

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 $x-y=3$ in slope intercept form:

$x-y=3$

$\Rightarrow -y=-x+3$

$\Rightarrow y=x-3$

Hence, the slope of the line $x-y=3$ is $m=1$ and the $y$-intercept is $-3$.