Find the Slope and y-intercept -2y=6(5-3x)

$- 2 y = 6 (5 - 3 x)$

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 $6 (5 - 3 x)$ .

Apply the distributive property.

$- 2 y = 6 \cdot 5 + 6 (- 3 x)$

Multiply.

Multiply $6$ by $5$ .

$- 2 y = 30 + 6 (- 3 x)$

Multiply $- 3$ by $6$ .

$- 2 y = 30 - 18 x$

Divide each term in $- 2 y = 30 - 18 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 30 - 18 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{30}{- 2} + \frac{- 18 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{30}{- 2} + \frac{- 18 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{30}{- 2} + \frac{- 18 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $30$ by $- 2$ .

$y = - 15 + \frac{- 18 x}{- 2}$

Cancel the common factor of $- 18$ and $- 2$ .

Factor $- 2$ out of $- 18 x$ .

$y = - 15 + \frac{- 2 (9 x)}{- 2}$

Cancel the common factors.

Factor $- 2$ out of $- 2$ .

$y = - 15 + \frac{- 2 (9 x)}{- 2 (1)}$

Cancel the common factor.

$y = - 15 + \frac{- 2 (9 x)}{- 2 \cdot 1}$

Rewrite the expression.

$y = - 15 + \frac{9 x}{1}$

Divide $9 x$ by $1$ .

$y = - 15 + 9 x$

Reorder $- 15$ and $9 x$ .

$y = 9 x - 15$

Step 2

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

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

$m = 9$

$b = - 15$

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

Slope: $9$

y-intercept: $(0, - 15)$

Slope: $9$

y-intercept: $(0, - 15)$

Step 3

Find the Slope and y-intercept -2y=6(5-3x)

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