Find the x and y intercepts of the equation: 2x - 3y = 18 (0, 2) and (-3, 0) (0, 9) and (0, -6) (9, 0) and (0, -6) (2, 0) and (0, -3)

The x - intercept is (9, 0) and y - intercept is (0, -6)

Solution:

Given that the equation is: 2x - 3y = 18

We have to find the x and y intercepts of the equation

The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.

The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero.

Finding x - intercept:

Substitute y = 0 in given equation

2x - 3y = 18

2x - 3(0) = 18

2x = 18

x = 9

Thus the x - intercept is (9, 0)

Finding y - intercept:

Substitute x = 0 in given equation

2(0) - 3y = 18

-3y = 18

y = -6

Thus the y-intercept is (0, -6)

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