College

Find the slope of a line \( L_2 \) that is parallel to \( L_1 \) where the slope of \( L_1 \) is \(-\frac{4}{3}\).

Find the slope of \( L_2 \) when \( L_1 \) and \( L_2 \) are perpendicular.

Answer :

Let:

m1 = Slope of the line L1

m2 = Slope of the line L2

If two lines are parallel we can can conclude:

[tex]\begin{gathered} m1=m2 \\ where: \\ m1=-\frac{4}{3} \\ so: \\ m2=-\frac{4}{3} \end{gathered}[/tex]

Answer:

-4/3

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If the lines are perpendicular, we can conclude:

[tex]\begin{gathered} m1\cdot m2=-1 \\ where: \\ m1=-\frac{4}{3} \\ so: \\ m2=-\frac{1}{-\frac{4}{3}} \\ so: \\ m2=\frac{3}{4} \end{gathered}[/tex]

Answer:

3/4