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)
