Find an equation of the line in the form axplusbyequalsc whose x-intercept is 9 and y-intercept is 3 , where a, b, and c are integers with no factor common to all three, and agreater than or equals0.

Question

Zain Compton

Mathematics

6 July, 05:40

Find an equation of the line in the form axplusbyequalsc whose x-intercept is 9 and y-intercept is 3 , where a, b, and c are integers with no factor common to all three, and agreater than or equals0.

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Answers (1)

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Giselle Melendez · Answer 1

Standard Form: Ax + By = C

x-intercept = 9: A (9) + B (0) = C ⇒ 9A = C

y-intercept = 3: A (0) + B (3) = C ⇒ 3B = C

Using substitution, 9A = 3B ⇒ 3A = B

Ax + By = C ⇒ Ax + (3A) y = C

Answer: 3x + 9y = 27 → x + 3y = 9