Algebra Examples

$x \leq y - 4$

Step 1

Solve for $y$ .

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Step 1.1

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

$y - 4 \geq x$

Step 1.2

Add $4$ to both sides of the inequality.

$y \geq x + 4$

Step 2

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

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Step 2.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2.2

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

$m = 1$

$b = 4$

Step 2.3

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

Slope: $1$

y-intercept: $(0, 4)$

Slope: $1$

y-intercept: $(0, 4)$

Step 3

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $x + 4$ .

$y \geq x + 4$

Step 4