How do you find the x and y intercept of the line 3x + 9y = 18?

To find the x and y intercepts of the line given by the equation 3x + 9y = 18, we will tackle each intercept separately.

X-Intercept

The x-intercept is the point where the line crosses the x-axis. At this point, the value of y is 0.

To find the x-intercept, we set y = 0 in the equation:

3x + 9(0) = 18
3x = 18
x = 6

Thus, the x-intercept is (6, 0).

Y-Intercept

The y-intercept is the point where the line crosses the y-axis. Here, the value of x is 0.

To find the y-intercept, we set x = 0 in the equation:

3(0) + 9y = 18
9y = 18
y = 2

Therefore, the y-intercept is (0, 2).

Conclusion

In summary, the x-intercept of the line is (6, 0) and the y-intercept is (0, 2).