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Line a passes through points (3, 6) and (1, 15). Line b is parallel to line a. What is the slope of line b?

Sagot :

Cnguyen949idn

Answer:

9/-2

Step-by-step explanation:

First, find the slope

(15-6)/(1-3)

9/-2

Sreedevi102idn

Answer:

[tex]slope\ of \ line\ b = - \frac{9}{2}[/tex]

Step-by-step explanation:

Since line a and b are parallel, the slope of a = slope of b.

therefore,

[tex]slope\ of \ line\ a = \frac{y_2 - y_1}{x_2-x_1} \ \ \ \ \ x_ 1 = 3 , \ y_ 1 = 6 \ , \ x_2 = 1 , \ y_2 = 15[/tex]

                    [tex]=\frac{15-6}{1-3}\\\\=\frac{9}{-2}\\\\= - \frac{9}{2}[/tex]

                   [tex]= slope\ of \ line \ b[/tex]

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