Questions: Find an equation of the line L. L is parallel to y=3x. The equation is □ (Type an equation. Simplify your answer.)

Solution Steps

The given line is $y = 3x$. The slope of this line is 3.

Since line $L$ is parallel to $y = 3x$, it has the same slope, which is 3. The point given on line $L$ is (2, 1). We use the point-slope form of the equation: $$y - y_1 = m(x - x_1)$$ where $m$ is the slope and $(x_1, y_1)$ is the point.

Substitute $m = 3$, $x_1 = 2$, and $y_1 = 1$ into the equation: $$y - 1 = 3(x - 2)$$

Distribute and simplify the equation: $$y - 1 = 3x - 6$$ $$y = 3x - 5$$

Final Answer