Find the Slope and y-intercept a(x)=(4x-16)-(-19+6x)

$a (x) = (4 x - 16) - (- 19 + 6 x)$

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 $(4 x - 16) - (- 19 + 6 x)$ .

Simplify each term.

Apply the distributive property.

$y = 4 x - 16 - - 19 - (6 x)$

Multiply $- 1$ by $- 19$ .

$y = 4 x - 16 + 19 - (6 x)$

Multiply $6$ by $- 1$ .

$y = 4 x - 16 + 19 - 6 x$

Simplify by adding terms.

Subtract $6 x$ from $4 x$ .

$y = - 2 x - 16 + 19$

Add $- 16$ and $19$ .

$y = - 2 x + 3$

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