Mathematics: A line passes through the points (5,21) and (9, 25). Write a linear function rule in terms of x and y for this line. The linear function rule is y=

Well they can get 1.50 , that s the answer I got doing 12 divided by 8....

A line passes through the points (5,21) and (9,

sakurauchiha913

30.03.2021

y = x + 16

Step-by-step explanation:

Given

(x_1,y_1) = (5,21)

(x_2,y_2) = (9,25)

Required

Determine the linear function rule

First, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

This gives:

$m = \frac{25 - 21}{9 - 5}$

$m = \frac{4}{4}$

m =1

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 1(x - 5) + 21

y = x - 5 + 21

y = x + 16

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