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What is the slope of a line that is perpendicular to the line that passes through the points (9,0) and (3,7)?


Sagot :

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}[/tex]

Slope of the  perpendicular line = -1/m = -1 ÷ [tex]\frac{-7}{6}[/tex]

                                                     [tex]= -1 * \frac{-6}{7} = \frac{6}{7}[/tex]