Graph y-3x<-x+4

$y - 3 x < - x + 4$

Step 1

Move all terms not containing $y$ to the right side of the inequality.

Add $3 x$ to both sides of the inequality.

$y < - x + 4 + 3 x$

Add $- x$ and $3 x$ .

$y < 2 x + 4$

Step 2

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 $y = m x + b$ .

$m = 2$

$b = 4$

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

Slope: $2$

y-intercept: $(0, 4)$

Slope: $2$

y-intercept: $(0, 4)$

Step 3

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $2 x + 4$ .

$y < 2 x + 4$

Step 4