Find the x - and y-intercepts of the line x - 3y = - 9

A. (-9,3)

B. X-intercept (0,-9); y-intercept (3,0)

C. X-intercept (-9,0); y-intercept (0,-3)

D. X-intercept (-9,0); y-intercept (0,3)

Choice D is correct answer.

Step-by-step explanation:

given equation is x-3y=-9

Firstly, we have to find x-intercept.

To find x-intercept, put y=0 in the given equation.

x-3 (0) = -9

x-0=-9

x=-9

Hence, x-intercept is (-9,0).

Secondly we have to find y-intercept.

To find y-intercept, put x=0 in the given equation.

0-3y=-9

-3y=-9

Multiplying by - 1/3 on both side of above equation, we get

(-1/3) (-3y) = -1/3) (-9)

y=3

Hence, y-intercept is (0,3).

D

Step-by-step explanation:

To find the intercepts, that is where the line crosses the x and y axes

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x - intercept

x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y - intercept

y = 0 : x = - 9 ⇒ ( - 9, 0) ← x - intercept