16.
lyn asked some of her classmates how many
people are normally at home for dinner. she
recorded her results in the histogram shown at
right.
a. how many classmates were surveyed?
number of responses
b. how many classmates have eight or nine
people at home for dinner?
c.
8 10
number of people at dinner
can you tell which is the most common
number of people at home for dinner?
why or why not?

Explanation:

Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that

rise = 2

run = 3

slope = rise/run = 2/3

If you want to use the slope formula, then you would say

m = (y2 - y1)/(x2 - x1)

m = (2 - 0)/(3 - 0)

m = 2/3

I used the two points (0,0) and (3,2). You could use any two points you like on this line.

Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.