find  the general form of equation that passes through the given points  and has the indictaed lope points (1,0) slope m undefined

When a line has an undefined slope, it is a vertical line. The equation of a vertical line has the form:

\[
x = c
\]

where \( c \) is the constant value of \( x \) for all points on the line.

### Step-by-Step Solution:
1. The line passes through the point \( (1, 0) \).
2. Since the slope is undefined, the line is vertical.
3. A vertical line passing through the point \( (1, 0) \) will have the equation:

\[
x = 1
\]

This is the general form of the equation of a vertical line passing through the point \( (1, 0) \).

Would you like more details on how we derived this, or do you have any other questions?

### Relative Questions:
1. What is the general form of a horizontal line passing through a point?
2. How do you calculate the slope of a line between two points?
3. What is the equation of a line with a defined slope passing through two points?
4. How can you find the intersection point of two lines with different slopes?
5. What does it mean when a line has an undefined slope?

### Tip:
For any vertical line, the slope is always undefined, and its equation will always be in the form \( x = c \), where \( c \) is a constant.

Find the general form of the equation that passes through the given points and has the indicated slope: points (1,0), slope m undefined.

Learn how to find the equation of a vertical line passing through the point (1, 0) with an undefined slope. This problem involves understanding key geometric concepts such as vertical lines, the definition of undefined slope, and the equation x = c. Suitable for students in Grades 8-10.

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