Q. 64 - 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 $y=5$, containing the point $(4,2)$

Step-by-Step Solution

Answer

The equation of line is $y=2$

Step 1. Given Information

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

Step 2. Calculation

As from the given equation we know that the given line is a horizontal line and the horizontal line has slope 0. So, the line which is parallel to the given line will also have slope as 0.

Substitute the values in the slope-point form of the equation.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=0(x-4) \\ y-2=0 \\ y=2 \end{gathered}$$