Question

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=

Answer 1

Answer:

$y = x + 16$

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:

$y = m(x - x_1) + y_1$

$y = 1(x - 5) + 21$

$y = x - 5 + 21$

$y = x + 16$