Question

A proportional relationship is shown in the table below: x 0 3 6 9 12 y 0 0.5 1.0 1.5 2.0 What is the slope of the line that represents this relationship? \qquad Graph the line that represents this relationship.

Answer 1

Take two point from the table, doesn't matter which ones, because this is linear. I will choose (0,0) and (3,.5).

Now follow the equation for slope: m = change in y / change in x.

`(y2-y1)/(x2-x1)`

`(.5-0)/(3-0)`

`(.5)/(3)`

`(1)/(6)`

The slope is 1/6. m=1/6

Its y-intercept is at 0. b=0

So the equation is y = 1/6x. The graph is attached.