Find the x- and y-intercepts of the line
A) x-intercept: (9, 0), y-intercept: (0, -6)
B) x-intercept: (-9, 0), y-intercept: (0, 6)
C) x-intercept: (6, 0), y-intercept: (0, 9)
D) x-intercept: (9, 0), y-intercept: (0, 6)
E) x-intercept: (-9, 0), y-intercept: (0, -6)

Question

Find the x- and y-intercepts of the line 
A) x-intercept: (9, 0), y-intercept: (0, -6) 
B) x-intercept: (-9, 0), y-intercept: (0, 6) 
C) x-intercept: (6, 0), y-intercept: (0, 9) 
D) x-intercept: (9, 0), y-intercept: (0, 6) 
E) x-intercept: (-9, 0), y-intercept: (0, -6)

Quizplus · Accepted Answer

To find the x-intercept, we set y = 0 in the equation of the line: 
-6x + 9y = 54 
-6x + 9(0) = 54 
-6x = 54 
x = -9 
So the x-intercept is (-9, 0).

To find the y-intercept, we set x = 0: 
-6(0) + 9y = 54 
9y = 54 
y = 6 
So the y-intercept is (0, 6).

Therefore, the correct choice is D, which has the x-intercept (-9,0) and y-intercept (0,6).

Find the X- and Y-Intercepts of the Line