Answer:
f(x) = -4x + 21
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