Find the slope of the line that passes through (–7, 1) and (7, 8)

slope= 1/2x

Step-by-step explanation:

For this line, you can count it going up 7 and to the right 14. Next, to calculate the slope, you take the change in y over the change in x, and you take those numbers (7 and 14) and divide 7 by 14 to get the slope, which simplifies to 1/2x, the slope.

1/2

Step-by-step explanation:

The slope formula is:

where (x1,y1) and (x1, y2) are 2 points the line passes through.

We are given the points:

(-7,1) and (7,8). Match the corresponding variables with the points.

x1= -7

y1= 1

x2= 7

y2= 8

Substitute these values into the formula.

Solve the numerator first. Subtract 1 from 8.

Now solve the denominator. Subtract -7 from 7, or add 7 and 7.

This fraction can be simplified. Both 7 and 14 can be divided evenly by 7.

The slope of the line is 1/2.

A. There is a positive correlation between the temperature and the amount of ice cream sold. This means that as the temperature increases the amount of ice cream also increases.

B. For the best fit you must calculate the slope between two points that are more-or-less representative of the entire graph.  In this case it seems to have already done this with certain points so if you take the points (15,35) and (0,5) you can calculate the slope between these two points which is m=(35-5)/(15-0)=30/15=2.  So the best fit slope for this particular case would be two and you would just draw a line through the graph at approximately the middle of the dots to best represent all of the data