What are the intercepts of the graph of the equation 6x−1.5y=18
?
A.
x-intercept: (0, 3)
; y-intercept: (–12, 0)
B.
x-intercept: (–3, 0)
; y-intercept: (0, 12)
C.
x-intercept: (–12, 0)
; y-intercept: (0, 3)
D.
x-intercept: (3, 0)
; y-intercept: (0,−12)
A?
The intersection with the x-axis is: (3,0)
The intersection with the y axis is: (0,12)
a
Hmm, let me see... 6x - 1.5y = 18. To find the x-intercept, we let y = 0. So, we have 6x - 1.5(0) = 18. Simplifying that, we get 6x = 18, which gives us x = 3. Therefore, the x-intercept is (3, 0).
Now, to find the y-intercept, we let x = 0. Substituting that into the equation, we have 6(0) - 1.5y = 18. Simplifying, we get -1.5y = 18, which means y = -12. Hence, the y-intercept is (0, -12).
So, according to my calculations, the correct answer is D.
To find the x-intercept, we set y = 0 and solve for x. Similarly, to find the y-intercept, we set x = 0 and solve for y.
To find the x-intercept, substitute y = 0 into the equation 6x - 1.5y =18:
6x - 1.5(0) = 18
6x = 18
x = 3
So, the x-intercept is (3, 0).
To find the y-intercept, substitute x = 0 into the equation 6x - 1.5y = 18:
6(0) - 1.5y = 18
-1.5y = 18
y = -12
So, the y-intercept is (0, -12).
Comparing the given options, we can see that the correct answer is option D:
x-intercept: (3, 0)
y-intercept: (0, -12)
To get the x-intercept, let y=0 and solve for x.
To get the y-intercept, let x=0 and solve for y.
let me know what your calculations show.