Q. 63 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.  

Parallel to the line $x=5$, containing the point $(4,2)$

Step-by-Step Solution

Answer

The equation of line is $x=4$

Step 1. Given Information

The given point is $(4,2)$ and the equation of parallel line is $x=5$

Step 2. Calculation

It is clear that $x=5$ is a vertical line which implies that line parallel to it is also a vertical line and the equation of vertical line can be obtained by $x=a$

Thus, the point given is $x=4,y=2$ which implies that $a=4$

Hence, the required equation of line is $x=4$