Graph 4x+y<3

$4 x + y < 3$

Step 1

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

Subtract $4 x$ from both sides of the inequality.

$y < 3 - 4 x$

Rearrange terms.

$y < - 4 x + 3$

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 $y = m x + b$ .

$m = - 4$

$b = 3$

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

Slope: $- 4$

y-intercept: $(0, 3)$

Slope: $- 4$

y-intercept: $(0, 3)$

Step 3

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- 4 x + 3$ .

$y < - 4 x + 3$

Step 4