The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
Step-by-step explanation:
If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
In this case,
x1 = 5
x2 = 7
y1 = 80
y2 = 65
By putting the values in formula, we get
[tex]m = \frac{(65-80)}{7-5}[/tex]
[tex]m = \frac{(-15)}{2}[/tex]
or
m = -7.5
Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
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