Graph x>=0 y>=0 y<=7-x

$x \geq 0$ $y \geq 0$ $y \leq 7 - x$

Graph $x \geq 0$ .

$x \geq 0$

Graph $y \geq 0$ .

$y \geq 0$

Graph $y \leq 7 - x$ .

Reorder $7$ and $- x$ .

$y \leq - x + 7$

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 1$

$b = 7$

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

Slope: $- 1$

y-intercept: $(0, 7)$

Slope: $- 1$

y-intercept: $(0, 7)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- x + 7$ .

$y \leq - x + 7$

Plot each graph on the same coordinate system.

$x \geq 0$

$y \geq 0$

$y \leq 7 - x$