Question

Use the intercepts to graph the equation.

Answer 1

To graph an equation using intercepts, you typically need to find both the x-intercept and the y-intercept. Let's go over the steps involved:

1. **Identify the Equation**: First, make sure you have a specific equation to work with. For demonstration, let's use the linear equation \(2x + 3y = 6\).

2. **Find the x-intercept**:
- To find the x-intercept, set \(y = 0\) and solve for \(x\).
\[
2x + 3(0) = 6 \\
2x = 6 \\
x = 3
\]
- The x-intercept is (3, 0).

3. **Find the y-intercept**:
- To find the y-intercept, set \(x = 0\) and solve for \(y\).
\[
2(0) + 3y = 6 \\
3y = 6 \\
y = 2
\]
- The y-intercept is (0, 2).

4. **Plot the Points**: You can now plot the points you found:
- Plot the x-intercept (3, 0) on the x-axis.
- Plot the y-intercept (0, 2) on the y-axis.

5. **Draw the Line**: Finally, draw a straight line through both points, which represents the equation in the graph.

If you have a different equation in mind, please provide it, and I can help you find the intercepts and guide you through the graphing process!