Find the Slope and y-intercept p(x)=(4x-11)-(-12+2x)

$p (x) = (4 x - 11) - (- 12 + 2 x)$

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 $(4 x - 11) - (- 12 + 2 x)$ .

Simplify each term.

Apply the distributive property.

$y = 4 x - 11 - - 12 - (2 x)$

Multiply $- 1$ by $- 12$ .

$y = 4 x - 11 + 12 - (2 x)$

Multiply $2$ by $- 1$ .

$y = 4 x - 11 + 12 - 2 x$

Simplify by adding terms.

Subtract $2 x$ from $4 x$ .

$y = 2 x - 11 + 12$

Add $- 11$ and $12$ .

$y = 2 x + 1$

Step 2

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

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

$m = 2$

$b = 1$

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

Slope: $2$

y-intercept: $(0, 1)$

Slope: $2$

y-intercept: $(0, 1)$

Step 3