Name: ___________________

Date:___________________
kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

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.

Name: ___________________

Date:___________________

High School Mathematics
9.11 Intercept Form of a Line

Q 1: Find the y-intercept made by the line 4x - 5y + 20 = 0 on the coordinates axes.
5
-4
4
-5

 Q 2: Find the x-intercept made by the line 7x - 4y + 28 = 0 on the coordinates axes.
4
-7
7
-4

Q 3: Find the x-intercept made by the line 7x - 8y + 56 = 0 on the coordinates axes.
-8
8
7
-7

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

Q 5: Find the x-intercept made by the line 4x - 7y + 28 = 0 on the coordinates axes.
7
-4
-7
4

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

Question 7: This question is available to subscribers only!

 Question 8: This question is available to subscribers only!


Subscription to kwizNET Learning System costs less than $1 per month & offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements

© 2003-2007 kwizNET Learning System LLC. All rights reserved. This material may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder. For permission, contact info@kwizNET.com
For unlimited printable worksheets & more, go to http://www.kwizNET.com.