Here are some problems to try:
1. State whether the following equations show direct variation:
2. The variables x and y vary directly. When x=12 and y= 3...
a. write an equation relating x and y
b. FInd the value, using the equation in a, of y when x=24
3. What is the slope of the equation Y=5/6x ?
1. Y=56x+0 shows direct variation because it says that this line intercepts at the orgin, (0) on the y axis, meaning that it varies directly
Y=10x-1 doesn't vary directly because the y intercept is -1, not 0
Y=X does vary directly because it doesn't have another number added meaning that it could be written as Y=X+0 making the y intercept 0
Y=5x does vary directly because it doesn't have another number added meaning that it could be written as Y=5X+0 making the y intercept 0
2. a. y=1/4x
b. y= 6
3. the slope is 5/6