### 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. 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. ### Math Video #### Click play to watch video #### Math Video Transcript

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

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

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

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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.

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

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

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

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

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

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

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

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

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

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

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

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

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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).

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

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

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

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

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Therefore, we can substitute x with 0.

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

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Let's adjust this point to the correct coordinates.

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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.

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

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

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Therefore, we can substitute y with 0.

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

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

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

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

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Let's adjust this point to the correct coordinates.

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

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

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

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

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

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

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So we have the y-intercept as -2.

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Let's adjust this point to the correct coordinates.

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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.

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8 divides by 2 gives 4.

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

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

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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 #### Site-Search and Q&A Library

Please feel free to visit the Q&A Library. You can read the Q&As listed in any of the available categories such as Algebra, Graphs, Exponents and more. Also, you can submit math question, share or give comments there. 