Find the Slope and y-intercept a(x)=(x-15)-(-18+3x)

$a (x) = (x - 15) - (- 18 + 3 x)$

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 $(x - 15) - (- 18 + 3 x)$ .

Simplify each term.

Apply the distributive property.

$y = x - 15 - - 18 - (3 x)$

Multiply $- 1$ by $- 18$ .

$y = x - 15 + 18 - (3 x)$

Multiply $3$ by $- 1$ .

$y = x - 15 + 18 - 3 x$

Simplify by adding terms.

Subtract $3 x$ from $x$ .

$y = - 2 x - 15 + 18$

Add $- 15$ and $18$ .

$y = - 2 x + 3$

Step 2

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

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

$m = - 2$

$b = 3$

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

Slope: $- 2$

y-intercept: $(0, 3)$

Slope: $- 2$

y-intercept: $(0, 3)$

Step 3