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Sagot :

akposevictor

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

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