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

In 30 Words Of Your Identify Which Form Slope Intercept Or Point Slope Would Be Better To Use Why class=

Sagot :

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;

[tex](3,15)[/tex]

Using the point-lope form which is;

[tex]\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}[/tex]

Further simplified, this now becomes;

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

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.