Use the given point on the line and the slope of the line to find three additional points through ehich the line passes point is (2,1) slope me is 0

Given the point \((2, 1)\) and the slope \(m = 0\), we can use the point-slope form of a line to find additional points. 

The point-slope form is:

\[
y - y_1 = m(x - x_1)
\]

Since the slope \(m = 0\), this means the line is horizontal. So the equation simplifies to:

\[
y = 1
\]

This is the equation of a horizontal line, which means the \(y\)-coordinate remains constant for all values of \(x\). 

Now, let's choose three different values of \(x\) and find the corresponding points:

1. If \(x = 0\), then \(y = 1\). So, one point is \((0, 1)\).
2. If \(x = 3\), then \(y = 1\). So, another point is \((3, 1)\).
3. If \(x = -2\), then \(y = 1\). So, another point is \((-2, 1)\).

Thus, three additional points through which the line passes are:
\[
(0, 1), (3, 1), (-2, 1)
\]

Would you like more details, or do you have any further questions?

Here are 5 related questions you might consider:
1. How does the slope of zero affect the shape of the line?
2. What would the line look like if the slope were positive or negative?
3. How would the equation change if the given point had different coordinates?
4. Can a line with slope zero ever pass through more than one \(y\)-coordinate?
5. What is the significance of the point-slope form in finding the equation of a line?

**Tip**: A slope of zero always results in a horizontal line, which means all points on the line share the same \(y\)-value!

Use the given point on the line and the slope of the line to find three additional points through which the line passes. The point is (2,1) and the slope m is 0.

Learn how to find three additional points on a horizontal line given a point (2,1) and a slope of 0. This problem uses the point-slope form and the equation of a horizontal line, perfect for students in Grades 7-9.

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