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

Finding the x-intercept
Since it lies on the x-axis, we know that y=0. Let's plug this into our equation.
5x - 6(0) = 30
Let's solve for x.
5x - 0 = 30
5x = 30
Divide each side by 5.
x = 6
Our x-intercept is at (6, 0).

Finding the y-intercept
Since it lies on the y-axis, we know that x=0. Let's plug this into our equation.
5(0) - 6y = 30
Let's solve for x.
0 - 6y = 30
-6y = 30
Divide each side by -6.
y = -5
Our y-intercept is at (0, -5).

Final answer: a. The x-intercept is (6, 0); the y-intercept is (0, -5).