Question

In 30 words of your identify which form slope intercept or point slope would be better to use why

Answer 1

As indicated in the question, parallel lines have the same slope.

This means the slope of the fourth parallel line is also 2. A point on that line has been identified as;

$(3,15)$

Using the point-lope form which is;

$\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where,} \\ x_1=3,y_1=15 \\ \text{The equation becomes;} \\ y-15=2(x-3) \end{gathered}$

Further simplified, this now becomes;

$\begin{gathered} y-15=2(x-3) \\ y-15=2x-6 \\ \text{Add 15 to both sides;} \\ y=2x+9 \end{gathered}$

ANSWER:

It would be better to use the point-slope form to derive the equation of the 4th line because we already have the slope and one point on the equation.