Find the Slope and y-intercept h(x)=(8x-16)-(-12+5x)

$h (x) = (8 x - 16) - (- 12 + 5 x)$

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 $(8 x - 16) - (- 12 + 5 x)$ .

Simplify each term.

Apply the distributive property.

$y = 8 x - 16 - - 12 - (5 x)$

Multiply $- 1$ by $- 12$ .

$y = 8 x - 16 + 12 - (5 x)$

Multiply $5$ by $- 1$ .

$y = 8 x - 16 + 12 - 5 x$

Simplify by adding terms.

Subtract $5 x$ from $8 x$ .

$y = 3 x - 16 + 12$

Add $- 16$ and $12$ .

$y = 3 x - 4$

Step 2

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

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

$m = 3$

$b = - 4$

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

Slope: $3$

y-intercept: $(0, - 4)$

Slope: $3$

y-intercept: $(0, - 4)$

Step 3