Find the x and y-intercepts of −6x + 3y = 36
Responses
A. x-intercept is (36,0), y-intercept is (0,36)
B. x-intercept is (-6,0), y-intercept is (0, 3)
C. x-intercept is (-6,0), y-intercept is (0, 12)
D. x-intercept is (6,0), y-intercept is (0, -12)
To find the x-intercept, we set y = 0 and solve for x. Plugging in y = 0 in the equation −6x + 3y = 36, we get −6x + 3(0) = 36. Simplifying, we have −6x = 36, which implies x = -6. Therefore, the x-intercept is (-6, 0).
To find the y-intercept, we set x = 0 and solve for y. Plugging in x = 0 in the equation −6x + 3y = 36, we get −6(0) + 3y = 36. Simplifying, we have 3y = 36, which implies y = 12. Therefore, the y-intercept is (0, 12).
Hence, the correct answer is C. x-intercept is (-6,0), y-intercept is (0, 12).