Graph y<-5x+3y

$y < - 5 x + 3 y$

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

Solve for $y$ .

Move all terms containing $y$ to the left side of the inequality.

Subtract $3 y$ from both sides of the inequality.

$y - 3 y < - 5 x$

Subtract $3 y$ from $y$ .

$- 2 y < - 5 x$

Divide each term in $- 2 y < - 5 x$ by $- 2$ and simplify.

Divide each term in $- 2 y < - 5 x$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} > \frac{- 5 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} > \frac{- 5 x}{- 2}$

Divide $y$ by $1$ .

$y > \frac{- 5 x}{- 2}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y > \frac{5 x}{2}$

Reorder terms.

$y > \frac{5}{2} x$

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

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

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

$b = 0$

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: $(0, 0)$

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

y-intercept: $(0, 0)$

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

$y > \frac{5}{2} x$

Graph y<-5x+3y

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