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

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Answer 1 · 2017-04-16T00:40:01

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

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

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

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

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

graph{y=.5x-3}

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

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