To find the 'x' and 'y' intercepts, first we clear 'y' from given equation:
[tex]y=2x+4[/tex]Now we can see that this is a linear equation. The 'y' intercept is when x=0. When this happens, we have:
[tex]y=2\cdot0+4\Rightarrow y=4[/tex]So, the 'y' intercept is y=4.
Then, the 'x' intercept is when y=0. For this condition, we have:
[tex]0=2x+4[/tex]To find the 'x' intercept we clear x from this expression. First we put the 4 in the other side, with an opposite sign:
[tex]2x=-4[/tex]And then the 2 goes to the other side of the equal sign dividing the 4:
[tex]x=\frac{-4}{2}=-2[/tex]So, the 'x' interception for this equation is x = -2
