Each cube in the rectangular prism is one cubic centimeter. a. Find the number of cubes in the figure
b. Find the volume of the figure (Be sure to label correctly)

The equation of the line will be in the form:

y=mx+c

where m is the slope (gradient) and c is the y-intercept.

To find the slope, we use:

m=y2−y1x2−x1

It doesn't matter which point we decide is (x1,y1) and which we choose as (x2,y2, since the formula will work either way.

m=0−(−5)3−(−3)=56

Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:

y=mx+c

0=56(3)+c=156+c

Rearranging:

c=0−156=−156

Over all, then, the equation of the line is:

y=56x−156