Drag the red and blue dots along the x-axis and y-axis to graph minus, x, plus, y, equals, 5 

To graph the equation \(-x + y = 5\), you can rearrange it into slope-intercept form \(y = mx + b\). This gives:

\[
y = x + 5
\]

**Steps to graph:**

1. **Find the y-intercept:** Set \(x = 0\):
   \[
   y = 0 + 5 = 5
   \]
   So the point is \((0, 5)\).

2. **Find the x-intercept:** Set \(y = 0\):
   \[
   0 = x + 5 \implies x = -5
   \]
   So the point is \((-5, 0)\).

3. **Plot the points:** Plot \((0, 5)\) and \((-5, 0)\) on the graph.

4. **Draw the line:** Connect these points with a straight line, extending it in both directions.

If you have graphing software or a physical graph, you can drag the dots at \((0, 5)\) and \((-5, 0)\) to visualize the line.

Would you like any further details or have any questions about this process? Here are some related questions you might consider:

1. How do you find the slope of a linear equation?
2. What does the slope represent in a graph?
3. Can you explain how to graph a different linear equation?
4. How would the graph change if we had \(y = -x + 5\)?
5. What are the characteristics of parallel and perpendicular lines?

**Tip:** Always check your intercepts; they are crucial for accurately drawing linear graphs.

Drag the red and blue dots along the x-axis and y-axis to graph minus, x, plus, y, equals, 5

Learn how to graph the linear equation -x + y = 5 by finding intercepts and plotting points. This solution includes detailed steps to rearrange the equation, plot the y-intercept (0, 5) and x-intercept (-5, 0), and connect them to visualize the line. Suitable for Grades 7-9 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation