Find the Slope and y-intercept f(x)=-2(x+3)-5

$f (x) = - 2 (x + 3) - 5$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Simplify the right side.

Simplify $- 2 (x + 3) - 5$ .

Simplify each term.

Apply the distributive property.

$y = - 2 x - 2 \cdot 3 - 5$

Multiply $- 2$ by $3$ .

$y = - 2 x - 6 - 5$

Subtract $5$ from $- 6$ .

$y = - 2 x - 11$

Step 2

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

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

$m = - 2$

$b = - 11$

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

Slope: $- 2$

y-intercept: $(0, - 11)$

Slope: $- 2$

y-intercept: $(0, - 11)$

Step 3