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?

Algebra ->  Linear-equations -> 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?      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
8x-6y=3
This is in the form ax%2Bby=c where the slope is given by %28-a%2Fb%29
Here, a = 8 and b = -6, hence slope = -8%2F-6+=+4%2F3
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 8+x+%2B+-6+y+=+3 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-8%2F-6.
  • 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.