What are the coordinates of the x-intercept and y-intercept of the line - 3y-x=-9

Step-by-step explanation:

The x-intercept exists when y = 0; the coordinate takes on the form (, 0)

The y-intercept exists when x = 0; the coordinate takes on the form (0,).

We will fill in the blanks in a sec.

If the x-intercept exists when y = 0, then we fill in 0 for y and solve for x:

-3 (0) - x = - 9 so

-x = - 9 and

x = 9

The coordinate is (9, 0) for the x-intercept.

If the y-intercept exists when x = 0, then we fill in 0 for x and solve for y:

-3y - 0 = - 9 so

-3y = - 9 and

y = 3

The coordinate is (0, 3) for the y-intercept.