SOLUTION: 1. We are given the line y = Dx+C where D is a real, non-zero constant. What is the slope of this line? What is the slope of a line parallel to this line. 2. What is the sl

Algebra ->  Linear-equations -> SOLUTION: 1. We are given the line y = Dx+C where D is a real, non-zero constant. What is the slope of this line? What is the slope of a line parallel to this line. 2. What is the sl      Log On


   

Question 835788: 1. We are given the line y = Dx+C where D is a real, non-zero constant. What is the slope of this line? What is the slope of a line parallel to this line.
2. What is the slope of the line that is perpendicular to the line in #1?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How if you try a data table for different values of x?

x__________y
0__________C
1_________D+C
2________2D+C
3________3D+C

The meaning of slope is, vertical change divided by horizontal change.
Slope from x of 0 to 1 is %28D%2BC-C%29%2F%281-0%29=%28D%2B0%29%2F1=D.
If you find the slope for all of the successive points of the table, you WILL FIND:

x__________y_______slope
0__________C
1_________D+C______D
2________2D+C______D
3________3D+C______D

Students at the introductory and intermediate algebra levels are plainly told, that the product of slopes of perpendicular lines in a plane is -1.
This means for your example form equation of the line y=Dx+C, that the slope of the line perpendicular must be m%2AD=-1, giving highlight%28m=-%281%2FD%29%29.