SOLUTION: Which best describes the differences between the graphs of f(x)=-5x+3/4 and g(x)=-10x+3/4? Which is steeper and why? and is this question best answered by using a graphing calculat

Algebra ->  Linear-equations -> SOLUTION: Which best describes the differences between the graphs of f(x)=-5x+3/4 and g(x)=-10x+3/4? Which is steeper and why? and is this question best answered by using a graphing calculat      Log On


   

Question 832314: Which best describes the differences between the graphs of f(x)=-5x+3/4 and g(x)=-10x+3/4? Which is steeper and why? and is this question best answered by using a graphing calculator?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure you need a graphing calculator but graph paper would be good.
The greater the slope (the x multiplier), the steeper the curve.
Pick a point x=0
Calculate f%28x%29 and g%28x%29.
f%280%29=-5%280%29%2B3%2F4=3%2F4
g%280%29=-10%280%29%2B3%2F4=3%2F4
Both values equal 3%2F4.
Now take 1 1 unit step in the x-direction x=1.
f%281%29=-5%2B3%2F4
g%281%29=-10%2B3%2F4
and look at the differences from when x=0
f%281%29-f%280%29=-5%2B3%2F4-3%2F4=-5
g%281%29-g%280%29=-10%2B3%2F4-3%2F4=-10
So a greater slope will provide a much greater rate of change in the function for an equal step size in x.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-20%2C20%2C+-5x%2B3%2F4%2C-10x%2B3%2F4%29+