Find the Slope and y-intercept 0=5y-x

$0 = 5 y - x$

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 $5 y - x = 0$ .

$5 y - x = 0$

Add $x$ to both sides of the equation.

$5 y = x$

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

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

$\frac{5 y}{5} = \frac{x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{x}{5}$

Divide $y$ by $1$ .

$y = \frac{x}{5}$

Reorder terms.

$y = \frac{1}{5} x$

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

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

$m = \frac{1}{5}$

$b = 0$

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

Slope: $\frac{1}{5}$

y-intercept: $(0, 0)$

Slope: $\frac{1}{5}$

y-intercept: $(0, 0)$