Graph -5x+4<=2y

$- 5 x + 4 \leq 2 y$

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

Solve for $y$ .

Rewrite so $y$ is on the left side of the inequality.

$2 y \geq - 5 x + 4$

Divide each term in $2 y \geq - 5 x + 4$ by $2$ and simplify.

Divide each term in $2 y \geq - 5 x + 4$ by $2$ .

$\frac{2 y}{2} \geq \frac{- 5 x}{2} + \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} \geq \frac{- 5 x}{2} + \frac{4}{2}$

Divide $y$ by $1$ .

$y \geq \frac{- 5 x}{2} + \frac{4}{2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y \geq - \frac{(5) x}{2} + \frac{4}{2}$

Divide $4$ by $2$ .

$y \geq - \frac{5 x}{2} + 2$

Reorder terms.

$y \geq - (\frac{5}{2} x) + 2$

Remove parentheses.

$y \geq - \frac{5}{2} x + 2$

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

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

$m = - \frac{5}{2}$

$b = 2$

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

Slope: $- \frac{5}{2}$

y-intercept: $(0, 2)$

Slope: $- \frac{5}{2}$

y-intercept: $(0, 2)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- \frac{5}{2} x + 2$ .

$y \geq - \frac{5}{2} x + 2$