Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 88 , 64 ) and ( x₂ , y₂) = ( 97,118) .
y₂ - y ₁ 118 - 64 54
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 97 - 88 9
Slope , m = 6 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 6 x + b .
To find value of b , we put ( 88 , 64 ) in place of x and y .
Put x = 88 and y = 64 , we get
64 = 6 * 88 + b
64 = 528 + b
64 - 528 = b
- 464 = b
Thus we get b = - 464 .
So the equation become
y = 6 x - 464 .
Equation in slope intercept form representing the situation is
y = 6 x - 464 .