How do you find the x and y intercepts of g(x)=0.5x-3?

Apr 16, 2017

To find the $x$- intercept, we set $y = 0$ and solve for $x$:
$0 = .5 x - 3$
$3 = .5 x$
$6 = x$

So. the $x$-intercept is $\left(6 , 0\right)$

To find the $y$-intercept, it's a similar system We set $x = 0$ and solve for $y$ this time.
$y = .5 \cdot 0 - 3$
$y = - 3$
That was easy :)

So, our $y$-intercept is $\left(0 , - 3\right)$

Just to double check our work, let's graph the equation and see the $x$ and $y$ intercepts

graph{y=.5x-3}

Yep, $\left(6 , 0\right)$ and $\left(0 , - 3\right)$. We were right!