Find the Slope and y-intercept g(x)=(3x-14)-(-16+7x)

$g (x) = (3 x - 14) - (- 16 + 7 x)$

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 $(3 x - 14) - (- 16 + 7 x)$ .

Simplify each term.

Apply the distributive property.

$y = 3 x - 14 - - 16 - (7 x)$

Multiply $- 1$ by $- 16$ .

$y = 3 x - 14 + 16 - (7 x)$

Multiply $7$ by $- 1$ .

$y = 3 x - 14 + 16 - 7 x$

Simplify by adding terms.

Subtract $7 x$ from $3 x$ .

$y = - 4 x - 14 + 16$

Add $- 14$ and $16$ .

$y = - 4 x + 2$

Step 2

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

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

$m = - 4$

$b = 2$

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

Slope: $- 4$

y-intercept: $(0, 2)$

Slope: $- 4$

y-intercept: $(0, 2)$

Step 3