Answer:
The equation is: y = 5x - 268
Explanation:
We are given that:
At 73°F, the chirp is 97 times per minute .........> first point is (73, 97)
At 80°F, the chirp is 132 times per minute .......> second point is (80, 132)
The general equation of the linear line is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
The slope can be calculated using the following rule:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute with the given points to get the slope as follows:
[tex]m = \frac{132 - 97}{80 - 73} = 5[/tex]
The equation, now, became:
y = 5x + c
2- getting the y-intercept:
To get the y-intercept, use any of the given points and substitute in the rule we got in part 1. I will use the point (80, 132)
Therefore:
y = 5x + c
132 = 5(80) + c
c = 132 - 5(80) = -268
The equation, therefore, is:
y = 5x - 268
Hope this helps :)
