Find the Slope and y-intercept a(x)=(4x-18)-(-18+5x)

$a (x) = (4 x - 18) - (- 18 + 5 x)$

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 $(4 x - 18) - (- 18 + 5 x)$ .

Simplify each term.

Apply the distributive property.

$y = 4 x - 18 - - 18 - (5 x)$

Multiply $- 1$ by $- 18$ .

$y = 4 x - 18 + 18 - (5 x)$

Multiply $5$ by $- 1$ .

$y = 4 x - 18 + 18 - 5 x$

Simplify by adding terms.

Combine the opposite terms in $4 x - 18 + 18 - 5 x$ .

Add $- 18$ and $18$ .

$y = 4 x + 0 - 5 x$

Add $4 x$ and $0$ .

$y = 4 x - 5 x$

Subtract $5 x$ from $4 x$ .

$y = - x$

Step 2

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

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

$m = - 1$

$b = 0$

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

Slope: $- 1$

y-intercept: $(0, 0)$

Slope: $- 1$

y-intercept: $(0, 0)$

Step 3