find an equation of the line that contains point 7,-5 and has a slope that is undefined express the equation using either the general form or the slope intercept form of the equation of a line

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

\[
x = c
\]

where \( c \) is the \( x \)-coordinate of every point on the line.

Given the point \( (7, -5) \), the line passes through \( x = 7 \), so the equation of the line is:

\[
x = 7
\]

This is the equation of the vertical line in its simplest form. It cannot be expressed in slope-intercept form because the slope is undefined, but this is the complete equation.

Would you like any details or further clarification on this?

Here are 5 related questions to deepen understanding:
1. How do you determine if a slope is undefined?
2. What is the equation of a horizontal line through the point \( (7, -5) \)?
3. What is the general form of a line with a defined slope?
4. How does the slope affect the angle of a line on a graph?
5. Can a vertical line have a y-intercept?

**Tip:** A vertical line has an undefined slope because the change in \( y \) values occurs without any change in \( x \), making the slope formula divide by zero.

Learn how to find the equation of a vertical line with an undefined slope that passes through the point (7, -5). This problem focuses on understanding vertical lines, undefined slopes, and key concepts in linear equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation