Find the Slope and y-intercept k(x)=(x-12)-(-13+7x)

$k (x) = (x - 12) - (- 13 + 7 x)$

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 $(x - 12) - (- 13 + 7 x)$ .

Simplify each term.

Apply the distributive property.

$y = x - 12 - - 13 - (7 x)$

Multiply $- 1$ by $- 13$ .

$y = x - 12 + 13 - (7 x)$

Multiply $7$ by $- 1$ .

$y = x - 12 + 13 - 7 x$

Simplify by adding terms.

Subtract $7 x$ from $x$ .

$y = - 6 x - 12 + 13$

Add $- 12$ and $13$ .

$y = - 6 x + 1$

Step 2

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

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

$m = - 6$

$b = 1$

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

Slope: $- 6$

y-intercept: $(0, 1)$

Slope: $- 6$

y-intercept: $(0, 1)$

Step 3