SOLUTION: At 109°F, a certain insect chirps at a rate of 98 times per minute, and at 112°F, they chirp 122 times per minute. Write an equation in slope-intercept form that represents the sit

Algebra ->  Linear-equations -> SOLUTION: At 109°F, a certain insect chirps at a rate of 98 times per minute, and at 112°F, they chirp 122 times per minute. Write an equation in slope-intercept form that represents the sit      Log On


   

Question 1007452: At 109°F, a certain insect chirps at a rate of 98 times per minute, and at 112°F, they chirp 122 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
At 109°F, a certain insect chirps at a rate of 98 times per minute, and at 112°F, they chirp 122 times per minute.
Write an equation in slope-intercept form that represents the situation.
:
Assign the given values as follows
x1=109; y1=98
x2=112; y2=122
Slope formula m = %28%28y2-y1%29%29%2F%28%28x2-x1%29%29
m = %28%28122-98%29%29%2F%28%28112-109%29%29 = 24%2F3 = 8 is the slope
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Find the equation using the point/slope form y - y1 = m(x - x1)
y - 98 = 8(x - 109)
y - 98 = 8x - 872
y = 8x - 872 + 98
y = 8x - 774 is the equation
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you can check this for yourself, see if the given values for x yield the value for y