Graph x-y<5

Multiply each term in ${\displaystyle -y<5-x}$ by ${\displaystyle -1}$. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Multiply ${\displaystyle (-y)\cdot -1}$.

Simplify each term.

The slope-intercept form is ${\displaystyle y=mx+b}$, where ${\displaystyle m}$ is the slope and ${\displaystyle b}$ is the y-intercept.

Reorder ${\displaystyle -5}$ and ${\displaystyle x}$.

Find the values of ${\displaystyle m}$ and ${\displaystyle b}$ using the form ${\displaystyle y=mx+b}$.

The slope of the line is the value of ${\displaystyle m}$, and the y-intercept is the value of ${\displaystyle b}$.

Slope: ${\displaystyle 1}$

y-intercept: ${\displaystyle (0,-5)}$