Answered

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Consider the line 7x+8y=-5.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Sagot :

devishri1977

Answer:

Step-by-step explanation:

7x + 8y = -5

       8y = -7x - 5

Divide the whole equation by 8

[tex]\frac{8y}{8}=\frac{-7x}{8}-\frac{5}{8}\\\\y =\frac{-7}{8}x-\frac{5}{8}[/tex]

Parallel lines have same slope

Slope of the parallel line = (-7/8)

Slope of the line perpendicular to this line = -1/m  = -1 ÷ (-7/8)

                                                                      [tex]= (-1)*\frac{8}{-7}\\\\= \frac{8}{7}[/tex]

 

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