Q. 41 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation of the line L.  

Step-by-Step Solution

Answer

The equation of line is $y=2x-3$

Step 1. Given Information

The given graph is 

Step 2. Explanation

From the given figure, we know the line is parallel to line $y=2x$

On comparing with the equation of line, we get the slope of line as 2 and as lines are parallel so the slope of the other line will also be 2.

Substitute the values in the general form of equation of slope- line format.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-3=2(x-3) \\ y-3=2x-6 \\ y=2x-3 \end{gathered}$$