Question

Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below

A) The x-intercept is (6, 0), the y-intercept is (0, –5).
B) The x-intercept is (0, 6); the y-intercept is (–5, 0).
C) The x-intercept is (5, 0); the y-intercept is (0, –6).
D) The x-intercept is (0, 5); the y-intercept is (–6, 0).

Answer 1

The correct answer is letter a

Answer 2

The x-intercept is the value of x, when y = 0.
When y = 0: 5x - 6(0) = 30
5x = 30
x = 30/5 = 6
Therefore, x-intercept is (6, 0)

The y-intercept is the value of y, when x = 0.
When x = 0: 5(0) - 6y = 30
-6y = 30
y = 30/-6 = -5
Therefore, the y-intercept is (0, -5)

option A is the correct answer.