Question 54604
Y varies directly as x is {{{highlight(y=kx)}}} where k is a constant of variation.
10.	A student earns $0.65 for each mistake she finds in a text.  Sketch the equation of direct variation.
A student=y
mistakes=x
k=$0.65
Your equation of variation is y=$0.65x
Plot a couple of points:
If the students finds 0 mistakes:
y=$0.65(0)
y=0
Plot (0,0)
If the student finds 1 mistake:
y=$0.65(1)
y=$0.65
Plot (1,.65)  .65 is a little more than half way between 0 and 1.
Start your graph at 0 because the student can't find a negative mistake.
The vertical | amount represents the money the student earns and the horizontal line _ represents the amount of mistakes the students finds. 
It should look like this:
{{{graph(300,200,0,10,-10,10,.65x)}}}
Happy Calculating!!!