SOLUTION: Consider the line 8x-6y=3 What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?

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Question 761616: Consider the line 8x-6y=3
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
8x-6y=3
This is in the form where the slope is given by
Here, a = 8 and b = -6, hence slope =
Lines parallel to each other have the same slope
Lines perpendicular to each other have slopes whose product is -1.
Slope of a line perpendicular to this would be -3/4
Slope of any line parallel to this would be the same as the slope of this line i.e. 4/3.
See the pictorial representation of the line in the graph below.
:)
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 3/8 = 0.375.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/-6 = -0.5.
  • Slope is -8/-6 = 1.33333333333333.
  • Equation in slope-intercept form: y=1.33333333333333*x+-0.5.

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