Question

Find an equation of the line L.

Short answer

The equation of line is$y=2x-3$

Step-by-step solution

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.

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