Graph y+4<-2(x-4)

$y + 4 < - 2 (x - 4)$

Step 1

Solve for $y$ .

Simplify $- 2 (x - 4)$ .

Rewrite.

$y + 4 < 0 + 0 - 2 (x - 4)$

Simplify by adding zeros.

$y + 4 < - 2 (x - 4)$

Apply the distributive property.

$y + 4 < - 2 x - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$y + 4 < - 2 x + 8$

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

Subtract $4$ from both sides of the inequality.

$y < - 2 x + 8 - 4$

Subtract $4$ from $8$ .

$y < - 2 x + 4$

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