Question

Graph the following Y=x-4

Answer 1

Ok, so

We want to find the line:

$y=x-4$

First, remember that a line can be described with the following formula:

$y=mx+b$

Where "m" is its slope and b is its y-intercept.

Based in our equation, we got that m = 1 and b = - 4. So, we have a line with slope = 1, and y-intercept = -4.

To graph it, we have to take two points that lie on the line, and join them. We already know that the line has y-intercept at ( 0 , -4 ), so that's one point.

To find the other point, we could make y = 0 to find the x-intercept as follows:

$\begin{gathered} y=x-4 \\ x-4=0 \\ x=4 \end{gathered}$

Now, we have the x-intercept at (4 , 0) so that's other point.

We join both points:

So that's the graph for y = x-4.