find the point intercept formula and general formula for a line that passes through (1,4) and has an undefined slope

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

\[
x = c
\]

where \( c \) is a constant. For this line, since it passes through the point \( (1, 4) \), the constant \( c \) is \( 1 \).

Thus, the equation of the line in point-intercept form (and any form, since it’s vertical) is:

\[
x = 1
\]

### General Form:
The general form of a line is usually written as:

\[
Ax + By = C
\]

For a vertical line, the equation simplifies to \( x = 1 \), which can be written as:

\[
x - 1 = 0 \quad \text{or} \quad 1x + 0y = 1
\]

So, the general form is:

\[
x - 1 = 0
\]

Would you like more details or have any questions?

### 5 Related Questions:
1. What is the equation of a horizontal line that passes through a specific point?
2. How would you find the slope of a line that is not vertical?
3. What is the slope-intercept form for a line that has a defined slope?
4. How do you find the equation of a line that passes through two points?
5. How do vertical and horizontal lines differ in terms of slope?

### Tip:
For vertical lines, the slope is always undefined because division by zero occurs when calculating the slope formula \( \frac{\Delta y}{\Delta x} \).

Find the point-intercept formula and general formula for a line that passes through (1,4) and has an undefined slope.

Learn how to find the point-intercept and general formulas for a vertical line passing through the point (1,4) with an undefined slope. This problem explores linear equations, algebraic concepts, and the properties of vertical lines. Suitable for students in Grades 8-10.

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