SOLUTION: Without graphing, identify the slope and the y-intercept for the line associated with the equation. 5x+20y=60 Is the slope -5? Thanks for your time and your help.

Algebra ->  Graphs -> SOLUTION: Without graphing, identify the slope and the y-intercept for the line associated with the equation. 5x+20y=60 Is the slope -5? Thanks for your time and your help.      Log On


   

Question 205326: Without graphing, identify the slope and the y-intercept for the line associated with the equation.
5x+20y=60
Is the slope -5?
Thanks for your time and your help.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Without graphing, identify the slope and the y-intercept for the line associated with the equation.
5x+20y=60
Is the slope -5?
Thanks for your time and your help.

You have to solve it for y to get it in

slope-intercept form, which is y=mx%2Bb

==========================================

5x%2B20y=60

Add -5x to both sides

20y=-5x%2B60

Divide every term by 20

%2820%2F20%29y=%28-5%2F20%29x%2B%2860%2F20%29

Simplify:

y=%28-1%2F4%29x%2B3

Compare that to

y=mx%2Bb

and equate like parts:

m+=+-1%2F4, that's the slope

b=3

which means that the y-intercept is the point (0,3)

Edwin