Lesson
Notes
Vertical Lines
\(x=a\)
Practice Problems
\(\textbf{1)}\) Write the equation of the vertical line through the point \( (3,7)\)
\(\textbf{2)}\) Write the equation of the vertical line through the point \( (0,0)\)
\(\textbf{3)}\) Write the equation of the vertical line through the point \( (-5,2)\)
\(\textbf{4)}\) Write the equation of the vertical line through the point \( (1,4)\)
See Related Pages\(\)
\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Graphing Linear Equations}\)
\(\,\,\,\,\,\,\,\,2x-3y=6 \) 
\(\bullet\text{ Slope Formula}\)
\(\,\,\,\,\,\,\,\,m=\frac{y_2-y_1}{x_2-x_1}\)
\(\bullet\text{ Net Change}\)
\(\,\,\,\,\,\,\,\,y_2-y_1\)
\(\bullet\text{ Slope Intercept Form}\)
\(\,\,\,\,\,\,\,\,y=mx+b\)
\(\bullet\text{ Point Slope Form}\)
\(\,\,\,\,\,\,\,\,y-y_1=m(x-x_1)\)
\(\bullet\text{ Distance Between a Point and a Line}\)
\(\,\,\,\,\,\,\,\,(3,4) \text{ and } y=\frac{3}{4}x−2\)
\(\bullet\text{Finding x- and y- intercepts}\)
\(\,\,\,\,\,\,\,\,y=2x+4\)
In summary
Vertical lines are lines that run straight up and down, perpendicular to the horizon. They are the opposite of horizontal lines, which run side to side. In high school geometry, students learn about the properties of vertical lines and how to use them in various mathematical contexts.
One key property of vertical lines is that they do not have a slope. Slope is a measure of how steep a line is, and it is calculated by finding the difference in y-values between two points on the line, divided by the difference in x-values. Since vertical lines do not have any change in x-value, their slope is undefined.