Write in y=mx+b Form 5x=3y

$5 x = 3 y$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Rewrite the equation as $3 y = 5 x$ .

$3 y = 5 x$

Divide each term in $3 y = 5 x$ by $3$ and simplify.

Divide each term in $3 y = 5 x$ by $3$ .

$\frac{3 y}{3} = \frac{5 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{5 x}{3}$

Divide $y$ by $1$ .

$y = \frac{5 x}{3}$

Reorder terms.

$y = \frac{5}{3} x$