How do I find the x and y intercepts of the line represented by the equation 3x + 9y = 18?

by

To find the x and y intercepts of the line given by the equation 3x + 9y = 18, we need to understand what these intercepts represent:

  • The x-intercept is the point where the line crosses the x-axis (where y = 0).
  • The y-intercept is the point where the line crosses the y-axis (where x = 0).

Finding the X-Intercept

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

3x + 9(0) = 18

This simplifies to:

3x = 18

Now, divide both sides by 3:

x = 6

So, the x-intercept is at the point (6, 0).

Finding the Y-Intercept

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

3(0) + 9y = 18

This simplifies to:

9y = 18

Now, divide both sides by 9:

y = 2

So, the y-intercept is at the point (0, 2).

Summary

In conclusion, for the equation 3x + 9y = 18, the intercepts are as follows:

  • X-Intercept: (6, 0)
  • Y-Intercept: (0, 2)

Leave a Comment