Question

Allie received a gift card for her local coffee shop. Every time she goes to part

the shop, she gets a medium coffee. The graph shows the gift card balance
ot two points. Use the two points to determine the slope of the line, Report
your answer in decimal form..
y
24
My Coffee
20
(1,17.50)
Gift Card
16
Gift Card Balance (5)
12
(5, 7.50)
8
4
0
0 2. 4 6 8 10
Medium Cups of Coffee
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10:34

Answer 1

The slope of the line is -2.5.

Explanation:

The formula to compute the slope of a straight line is:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

The graph shows the gift card balance after buying 2 and 5 cups of medium coffee.

The two points provided are:

A = (1, 17.50)

B = (5, 7.50)

Compute the slope of the line as follows:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`=(7.50-17.50)/(5-1)\\\\=(-10)/(4)\\\\=-2.5`

Thus, the slope of the line is -2.5.