Find the Slope and y-intercept y-6=2(3x-4)

$y - 6 = 2 (3 x - 4)$

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 $2 (3 x - 4)$ .

Apply the distributive property.

$y - 6 = 2 (3 x) + 2 \cdot - 4$

Multiply.

Multiply $3$ by $2$ .

$y - 6 = 6 x + 2 \cdot - 4$

Multiply $2$ by $- 4$ .

$y - 6 = 6 x - 8$

Move all terms not containing $y$ to the right side of the equation.

Add $6$ to both sides of the equation.

$y = 6 x - 8 + 6$

Add $- 8$ and $6$ .

$y = 6 x - 2$

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