Question

QUESTION 14Find the x- and y- intercepts.2x - y + 4= 0

Answer 1

To find the 'x' and 'y' intercepts, first we clear 'y' from given equation:

`y=2x+4`

Now we can see that this is a linear equation. The 'y' intercept is when x=0. When this happens, we have:

`y=2\cdot0+4\Rightarrow y=4`

So, the 'y' intercept is y=4.

Then, the 'x' intercept is when y=0. For this condition, we have:

`0=2x+4`

To find the 'x' intercept we clear x from this expression. First we put the 4 in the other side, with an opposite sign:

`2x=-4`

And then the 2 goes to the other side of the equal sign dividing the 4:

`x=(-4)/(2)=-2`

So, the 'x' interception for this equation is x = -2