# How do you find the x and y intercept and slope of Y=1/2x+6?

Jul 10, 2015

The $y$-intercept is at ($0 , 6$), and the $x$-intercept is at ($- 12 , 0$).

#### Explanation:

The "slope-intercept" form of a straight line equation is

$y = m x + b$,

where $m$ is the slope and $b$ is the $y$-intercept.

$Y = \frac{1}{2} x + 6$

If we compare the two equations, we see that $b = 6$.

So the $y$-intercept is at ($0 , 6$).

To get the $x$-intercept, we set $Y = 0$ and solve for $x$.

$Y = \frac{1}{2} x + 6$

$0 = \frac{1}{2} x + 6$

$0 = x + 12$

$x = - 12$

The $x$-intercept is at ($- 12 , 0$).