Find the x and y-intercepts of −6x + 3y = 36
Responses
x-intercept is (36,0), y-intercept is (0,36)
x-intercept is (36,0), y-intercept is (0,36)
x-intercept is (6,0), y-intercept is (0, -12)
x-intercept is (6,0), y-intercept is (0, -12)
x-intercept is (-6,0), y-intercept is (0, 3)
x-intercept is (-6,0), y-intercept is (0, 3)
x-intercept is (-6,0), y-intercept is (0, 12)
To find the x-intercept of the given equation −6x + 3y = 36, set y = 0 and solve for x:
−6x + 3(0) = 36
−6x = 36
x = 36 / (−6)
x = −6
The x-intercept is therefore (−6, 0).
To find the y-intercept, set x = 0 and solve for y:
−6(0) + 3y = 36
3y = 36
y = 36 / 3
y = 12
The y-intercept is therefore (0, 12).
The correct x and y-intercepts are:
x-intercept is (−6, 0), y-intercept is (0, 12).