Graph this equation:

When we have an equation in standard form, we can graph it by finding the intercepts and then drawing a line between them.

To find the x-intercept, let y = 0. Plug it in and solve.

2x = -3

We'll do the same thing for the y-intercept, except with x = 0.

y = -6

We have intercepts of (-1.5, 0) and (0, -6). Plot and draw, people!

Graph this equation:

We're going on a treasure hunt. And by "treasure" we mean "intercept." Which is basically the opposite of treasure. Now we're sad.

The x-intercept, where y = 0, is:

x = -4

The y-intercept is where x marks the spot, with x = 0.

-y = 2

y = -2

We have intercepts of (-4, 0) and (0, -2). Mark them on the treasure map. And by "treasure map" we mean "coordinate plane." Again, kinda misleading.

Graph this equation:

x + 4y = 4

Intercepts, plotting, problem done. Go.

Let's plug in y = 0 to find the x-intercept.

x + 4(0) = 4

x = 4

This makes the x-intercept the point (4, 0).

Next up is x = 0, netting us the y-intercept.

3(0) + 4y = 4

4y = 4

y = 1

A y-intercept of (0, 1). We can work with this.

Problem done. Now let's go sledding down this line.