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### High School Mathematics - 29.10 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 y-intercept made by the line 4x - 5y + 20 = 0 on the coordinates axes.4-4-55 Q 2: Find the y-intercept made by the line 12x - 2y + 24 = 0 on the coordinates axes.-2-12122 Q 3: Find the y-intercept made by the line 4x + 3y - 12 = 0 on the coordinates axes.-4-343 Q 4: Find the x-intercept made by the line 7x - 8y + 56 = 0 on the coordinates axes.78-7-8 Q 5: Find the x-intercept made by the line 7x - 4y + 28 = 0 on the coordinates axes.7-7-44 Q 6: Find the y-intercept made by the line 7x + 9y - 63 = 0 on the coordinates axes.-779-9 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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