i am trying to make the equation y = -1/4x + 22 into a point I can plot on a graph

To find a point you can plot on the graph for the equation \( y = -\frac{1}{4}x + 22 \), you'll need to choose a value for \( x \), substitute it into the equation, and then calculate the corresponding \( y \)-value. 

For example, let's calculate for \( x = 0 \):

1. When \( x = 0 \):
   \[
   y = -\frac{1}{4}(0) + 22 = 22
   \]
   So, the point is \( (0, 22) \).

Now, let’s calculate for \( x = 4 \):

2. When \( x = 4 \):
   \[
   y = -\frac{1}{4}(4) + 22 = -1 + 22 = 21
   \]
   So, the point is \( (4, 21) \).

You can plot these points \( (0, 22) \) and \( (4, 21) \) on the graph.

### Would you like me to explain how to choose more points or work with other types of equations?

Here are 5 related questions:
1. How do you calculate the slope from an equation?
2. What are the intercepts of a linear equation?
3. How can you find the slope between two points on a graph?
4. What does the slope \( -\frac{1}{4} \) represent in this equation?
5. How do you graph a line given an equation?

**Tip:** When choosing values for \( x \), try to pick easy-to-calculate numbers, like 0, 4, or multiples of 4 in this case, because of the fractional slope \( -\frac{1}{4} \).

Learn how to find points to plot from the linear equation y = -1/4x + 22. This example walks you through substituting values for x to calculate y and create points for graphing. Understand the slope-intercept form of a line and how to graph it, perfect for students in Grades 6-8.

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