# How do you find the slope , y intercept, and x intercept of the line y - 3x=7?

Jun 29, 2017

Slope is 3
y-intercept is 7
x-intercept is -7/3

#### Explanation:

Get the equation into the form $y = m x + b$ by adding $3 x$ to both sides of the equation. You get
$y = 3 x + 7$

The slope is $m$, which is the coefficient of $x$. In this case, it is $3$.

The y-intercept is $b$, which is positive 7 in this case. The y-intercept is when $x = 0$, so you could also substitute that into the equation.

The x-intercept is when $y = 0$, so use the equation to figure out the x-intercept.

$0 = 3 x + 7$
$- 7 = 3 x$
$x = - \frac{7}{3}$