Find the Slope and y-intercept k(x)=(x-8)-(-10+7x)

$k (x) = (x - 8) - (- 10 + 7 x)$

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 $(x - 8) - (- 10 + 7 x)$ .

Simplify each term.

Apply the distributive property.

$y = x - 8 - - 10 - (7 x)$

Multiply $- 1$ by $- 10$ .

$y = x - 8 + 10 - (7 x)$

Multiply $7$ by $- 1$ .

$y = x - 8 + 10 - 7 x$

Simplify by adding terms.

Subtract $7 x$ from $x$ .

$y = - 6 x - 8 + 10$

Add $- 8$ and $10$ .

$y = - 6 x + 2$

Step 2

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

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

$m = - 6$

$b = 2$

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

Slope: $- 6$

y-intercept: $(0, 2)$

Slope: $- 6$

y-intercept: $(0, 2)$

Step 3