How to write the equation of a line parallel to another through a point

The video tutorial explains how to find and graph a line parallel to a given vertical line. It begins by discussing why the slope-intercept form cannot be used for vertical lines and introduces the concept of undefined slopes. The tutorial then demonstrates how to graph vertical lines and find a line parallel to a given vertical line by ensuring it has the same undefined slope. Finally, it shows how to draw a parallel vertical line through a specific point.

Why can't the slope-intercept form be used for the equation X = -3?

• Because it is not a linear equation

• Because it is a vertical line with an undefined slope

• Because it has a zero slope

• Because it crosses the Y-axis

What is the characteristic of a vertical line in terms of slope?

• It has a positive slope

• It has a zero slope

• It has a negative slope

• It has an undefined slope

Why does the line X = -3 never cross the Y-axis?

• Because it has a zero slope

• Because it is parallel to the Y-axis

• Because it is a vertical line

• Because it is a horizontal line

What must be true for two lines to be parallel?

• They must have different slopes

• They must intersect at one point

• They must have the same slope

• They must be perpendicular

What is the equation of the line parallel to X = -3 that passes through (4, 2)?

• Y = 4

• X = 2

• X = 4

• Y = 2