How do you find the formula of the linear function described by the table #((t, 6.2, 6.4, 6.6, 6.8), (f(t), 606.4, 618.8, 631.2, 643.6))# ?
1 Answer
Feb 6, 2018
Explanation:
Given some points of a linear function:
#((t, 6.2, 6.4, 6.6, 6.8), (f(t), 606.4, 618.8, 631.2, 643.6))#
We can take any two distinct points on the graph of
#m = (Delta y)/(Delta x) = (618.8 - 606.4)/(6.4 - 6.2) = 12.4/0.2 = 62#
Then we can describe the graph of
#f(t) - 606.4 = m(t - 6.2) = 62(t-6.2)#
Adding
#f(t) = 62(t-6.2)+606.4#
#color(white)(f(t)) = 62t-384.4+606.4#
#color(white)(f(t)) = 62t+222#
The equation:
#f(t) = 62t+222#
is in slope intercept form, with