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High School Mathematics
9.11 Intercept Form of a Line

The equation of a line with the X-intercept a and the Y-intercept b is x/a + y/b = 1. This equation is known as the intercept form of a line.

Example:
Find the intercepts made by the line 3x - 5y + 15 = 0 on the coordinates axes.
Solution:
Given that 3x - 58y + 15 = 0
We can covert the given line in intercept form
i.e., x/a + y/b = 1
3x - 5y = -15
Divide both sides by -15 we get
3x/-15 - 5y/-15 = -15/-15
-x/5 - (-y)/3 = 1
-x/5 + y/3 = 1
Therefore, the above equation is in intercept form
Thus the X-intercept is -5 and Y-Intercept is 3.


Directions: Solve the following problems. Also write at least 10 examples of your own.
Q 1: Find the x-intercept made by the line 4x - 7y + 28 = 0 on the coordinates axes.
7
4
-4
-7

Q 2: Find the x-intercept made by the line 7x - 8y + 56 = 0 on the coordinates axes.
-7
8
-8
7

Q 3: Find the x-intercept made by the line 4x - 6y + 24 = 0 on the coordinates axes.
-4
4
6
-6

Q 4: Find the x-intercept made by the line 7x - 4y + 28 = 0 on the coordinates axes.
-7
7
4
-4

Q 5: Find the y-intercept made by the line 4x + 3y - 12 = 0 on the coordinates axes.
-3
4
3
-4

Q 6: Find the y-intercept made by the line 7x + 9y - 63 = 0 on the coordinates axes.
7
-7
-9
9

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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