# How do you write an equation in standard form for a line with slope of 2/3 and y-intercept (0,5) ?

Jul 1, 2015

I found:
$2 x - 3 y = - 15$

#### Explanation:

In general the equation of a line can be written in the form:
$y = m x + c$
where:
$m$ is the slope
$c$ is the y-intercept.

$y = \frac{2}{3} x + 5$
$3 y = 2 x + 15$ dealing with $3$ in the denominator, and collecting:
$2 x - 3 y = - 15$