Write an equation for the vertical line through ​(-5,7​). Give the answer in​ slope-intercept form​ (if possible).

A vertical line has an undefined slope, which means it cannot be written in slope-intercept form \((y = mx + b)\) since the slope \(m\) would be undefined.

However, the equation of a vertical line passing through the point \((-5, 7)\) is always given by the form:

\[
x = -5
\]

This is because the \(x\)-coordinate is always \(-5\) for every point on the vertical line, regardless of the \(y\)-coordinate.

Let me know if you'd like more details or have any questions!

Here are 5 questions to expand your understanding:
1. How do you find the equation of a horizontal line through a point?
2. What does it mean for a line to have an undefined slope?
3. How do you convert the equation of a line to standard form?
4. What is the difference between vertical and horizontal lines in terms of slope?
5. How do you graph vertical lines on a coordinate plane?

**Tip:** Vertical lines always have the form \(x = \text{constant}\), while horizontal lines have the form \(y = \text{constant}\).

Write an equation for the vertical line through (-5,7). Give the answer in slope-intercept form (if possible).

Learn how to find the equation of a vertical line passing through the point (-5,7). This problem explores algebraic concepts of vertical lines, including why they cannot be expressed in slope-intercept form. Suitable for students in Grades 7-9.

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