Question

Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)

Answer 1

y-intercept: (3,0) C) x-intercept: (–15,0)

Explanation:

Given the expression x - 5y = -15

x intercept occurs at y = 0

Substituting y = 0 into the expression

x - 5(0) = -15

x - 0 = -15

x = -15

Hence the x-intercept occurs at (-15, 0)

y intercept occurs at x = 0

Substituting x = 0 into the expression

0 - 5y = -15

-5y = -15

y = -15/-5

y = 3

Hence the y-intercept is at (0, 3)