### X and Y Intercept

#### Lesson Objective

This lesson shows what are x and y intercepts. Also, you will see some examples on how to find these intercepts for linear equations.

#### About This Lesson

The ideas behind x-intercept and y-intercept are quite simple.

This lesson will show you the important ideas that you must know about x and y intercepts. You will also get to see some examples on finding them.

You should proceed by reading the study tips and watch the math video below. After that, you can try out the practice questions.

### Study Tips

#### Tip #1

This lesson involves solving linear equations. If you need to recall on how to solve linear equations, you can watch the math videos in:

#### Tip #2

As you can guess, the x-intercept is referring to the x-coordinate of the point where the graph crosses the x-axis.

Similarly, the y-intercept is referring to the y-coordinate of the point where the graph crosses the y-axis.

Now, watch the following math video to learn more.

### Math Video

#### Math Video Transcript

00:00:01.180

This lesson shows you what are x and y intercepts and how to find them.

00:00:06.230

Now, consider this line. Notice that, this line crosses the y-axis and x-axis.

00:00:15.210

As you can see, the coordinates of the point that the line crosses the y-axis is (0.0, 3.0).

00:00:25.070

Now, the y-intercept is simply the y-coordinate of the point where the line crosses the y-axis.

00:00:31.090

Therefore, the y-intercept of this line is 3.0.

00:00:37.010

Alright, when I move this point along the y-axis, notice how the y-intercept changes.

00:00:46.010

More importantly, notice the x-coordinate always remains as 0.0.

00:00:54.140

Next, let's take a look at x-intercept.

00:00:58.240

The coordinates of the point that the line crosses the x-axis is (4.0,0.0).

00:01:06.050

Now, the x-intercept is simply the x-coordinate of the point where the line crosses the x-axis.

00:01:11.210

Therefore, the x-intercept of this line is 4.0.

00:01:16.230

Alright, when I move this point along the x-axis, notice how the x-intercept changes.

00:01:26.040

Also, notice that the y-coordinates remains as 0.0.

00:01:33.220

That's all we need to know about x and y intercept.

00:01:37.000

Now, let's look at some examples on how to find x and y intercept, and draw the line for the given equation.

00:01:44.000

Now, given the equation, y = 2x+4. Let's first find the y-intercept of this line.

00:01:52.000

We know that the y-intercept, is the y-coordinate of the point where the line crosses the y-axis.

00:01:58.100

Since we do not know the coordinates of this point, let's just put a point on the y-axis with the coordinates (0,y).

00:02:06.170

Now, this y-coordinate, is the y-intercept that we are going to find.

00:02:11.240

Logically, to calculate y, we need to know the value of x.

00:02:17.180

So, what is the value of x? It is Zero!.

00:02:20.220

This is because the x-coordinate of any point on the y-axis is always zero.

00:02:26.110

Therefore, we can substitute x with 0.

00:02:30.180

To find y, multiply 2 with 0 gives 0. 0 plus 4 gives 4. So, we get have the y-intercept as 4.

00:02:43.190

Let's adjust this point to the correct coordinates.

00:02:48.090

Next, let's find the x-intercept.

00:02:52.140

Now, we know that the x-intercept, is the x-coordinate of the point where the line crosses the x-axis.

00:03:00.060

Since we do not know the coordinates of this point, let's just put a point on the x-axis with the coordinates (x,0).

00:03:08.240

Now, this x-coordinate, is the x-intercept that we are going to find.

00:03:14.190

Now, to find x, we need to know is the value of y.

00:03:20.050

So what is the value of y? It is Zero!.

00:03:22.070

This is because the y-coordinate of any point on the x-axis is always zero.

00:03:28.030

Therefore, we can substitute y with 0.

00:03:31.210

To find x, we add -4 to both sides of the equation.

00:03:37.140

This gives 0 - 4 = 2x. Now, 0 minus 4 gives -4.

00:03:46.

Next, we divide both sides of the equation by with, 2. Hence, we have -4/2 = x.

00:03:55.100

-4 divides by 2 gives - 2. Finally, we get the x-intercept as -2.

00:04:04.110

Let's adjust this point to the correct coordinates.

00:04:10.120

With these 2 points, we can now draw the line, y = 2x +4.

00:04:18.220

Next example, find the x and y intercept, and draw the line of 2x-4y = 8.

00:04:27.120

Let's first find the y-intercept. Substituting x with 0.

00:04:34.040

Since 2 multiply by 0 gives 0, we can just remove this term.

00:04:41.080

Now, to solve for y, we divide - 4 to both sides of the equation.

00:04:47.060

This gives y equals to, 8 divides by - 4. 8 divides by -4 gives -2.

00:04:56.060

So we have the y-intercept as -2.

00:05:00.160

Let's adjust this point to the correct coordinates.

00:05:06.130

Next, let's find the x-intercept. Substituting y with 0. Since -4 multiply by 0 gives 0, we can just remove this term.

00:05:21.040

Now, to solve for x, we divides both sides of the equation with 2. This gives x = 8/2.

00:05:31.090

8 divides by 2 gives 4.

00:05:34.240

So we have the x-intercept as 4. Let's adjust this point to the correct coordinates.

00:05:43.000

With these 2 points, we can now draw the line of 2x-4y = 8.

00:05:50:000

That is all for this lesson. Try out the practice question to test your understanding.

### Practice Questions & More

#### Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on x and y intercept or pick your choice of question below.

- Question 1 on finding x and y intercepts.
- Question 2 on finding x and y intercepts for a quadratic graph

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