Question

How do you graph an equation using x and y intercepts.

Answer 1

Answer:

I'm going to use the following as an example.

$2x + 4y = 8$

To find the y-intercept, set x equal to 0 then solve for y.

$2(0) + 4y = 8$

two times zero is zero, so we have the following equation.

$4y = 8$

Solve for y

$\frac{4y}{4} = \frac{8}{4} \\ y = 2$

Your first point you will graph is (0, 2).

Now solve for the x intercept. To do this, set y = 0.

$2x + 4(0) = 8$

4(0) = 0, so you can remove it, and solve for x.

$2x = 8$

$\frac{2x}{2} = \frac{8}{2} \\ x = 4$

Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.