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

Answer:

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.

$\frac{y2-y1}{x2-x1}$

$\frac{.5-0}{3-0}$

$\frac{.5}{3}$

$\frac{1}{6}$

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.