Respuesta :

Answer:

Slope of a parallel line would be 3/4.

The slope of a perpendicular line would be -4/3

Step-by-step explanation:

Put this equation in the slope intercept form of al line

6x -8y = -7   Subtract 6x from both sides of the equation.

-8y = -6x - 7  Divide all the way through by -8

y = [tex]\frac{-6}{-8}[/tex]x - -[tex]\frac{7}{8}[/tex]  Clean it up

  • y = [tex]\frac{3}{4}[/tex]x + [tex]\frac{7}{8}[/tex]  In this equation.  The slope is [tex]\frac{3}{4}[/tex]  Any equation with a slope of [tex]\frac{3}{4}[/tex] is parallel to this line and any equation that has a slope of [tex]\frac{-4}{3}[/tex] if perpendicular to this line.  Perpendicular slopes are the negative reciprocals.