Graph 7y>=-5x

$7 y \geq - 5 x$

Write in $y = m x + b$ form.

Divide each term in $7 y \geq - 5 x$ by $7$ and simplify.

Divide each term in $7 y \geq - 5 x$ by $7$ .

$\frac{7 y}{7} \geq \frac{- 5 x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} \geq \frac{- 5 x}{7}$

Divide $y$ by $1$ .

$y \geq \frac{- 5 x}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y \geq - \frac{5 x}{7}$

Reorder terms.

$y \geq - (\frac{5}{7} x)$

Remove parentheses.

$y \geq - \frac{5}{7} x$

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

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

$m = - \frac{5}{7}$

$b = 0$

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

Slope: $- \frac{5}{7}$

y-intercept: $(0, 0)$

Slope: $- \frac{5}{7}$

y-intercept: $(0, 0)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- \frac{5}{7} x$ .

$y \geq - \frac{5}{7} x$