Find the Slope and y-intercept 5=10x-5y

$5 = 10 x - 5 y$

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.

$y = m x + b$

Rewrite the equation as $10 x - 5 y = 5$ .

$10 x - 5 y = 5$

Subtract $10 x$ from both sides of the equation.

$- 5 y = 5 - 10 x$

Divide each term in $- 5 y = 5 - 10 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 5 - 10 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{5}{- 5} + \frac{- 10 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{5}{- 5} + \frac{- 10 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{5}{- 5} + \frac{- 10 x}{- 5}$

Simplify the right side.

Simplify each term.

Divide $5$ by $- 5$ .

$y = - 1 + \frac{- 10 x}{- 5}$

Cancel the common factor of $- 10$ and $- 5$ .

Factor $- 5$ out of $- 10 x$ .

$y = - 1 + \frac{- 5 (2 x)}{- 5}$

Cancel the common factors.

Factor $- 5$ out of $- 5$ .

$y = - 1 + \frac{- 5 (2 x)}{- 5 (1)}$

Cancel the common factor.

$y = - 1 + \frac{- 5 (2 x)}{- 5 \cdot 1}$

Rewrite the expression.

$y = - 1 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$y = - 1 + 2 x$

Reorder $- 1$ and $2 x$ .

$y = 2 x - 1$

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

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

$m = 2$

$b = - 1$

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

Slope: $2$

y-intercept: $(0, - 1)$

Slope: $2$

y-intercept: $(0, - 1)$