Find the Slope and y-intercept k(x)=(x-6)-(-11+3x)

$k (x) = (x - 6) - (- 11 + 3 x)$

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 $(x - 6) - (- 11 + 3 x)$ .

Simplify each term.

Apply the distributive property.

$y = x - 6 - - 11 - (3 x)$

Multiply $- 1$ by $- 11$ .

$y = x - 6 + 11 - (3 x)$

Multiply $3$ by $- 1$ .

$y = x - 6 + 11 - 3 x$

Simplify by adding terms.

Subtract $3 x$ from $x$ .

$y = - 2 x - 6 + 11$

Add $- 6$ and $11$ .

$y = - 2 x + 5$

Step 2

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

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

$m = - 2$

$b = 5$

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

Slope: $- 2$

y-intercept: $(0, 5)$

Slope: $- 2$

y-intercept: $(0, 5)$

Step 3