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montgomerykarloxc24x
08.10.2019 •
Mathematics
20. if a certain linear function f(x) is evaluated at 0, the answer is 4.
in other words, f(0) = 4. if the same function f(x) is evaluated
at 3, the answer is 5. in other words, f(3) =5. use this
information to find the equation of the function in f(x)= mx + b
form.
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Ответ:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
Ответ: