Question

A line passes through the points (5,18) and (9,22). Write a linear function rule in terms of c and u for this line.

Answer 1

The first step is to find the slope

m = (y2-y1)/(x2-x1)

m = (22-18)/(9-5)

=4/4

=1

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Using a point (5,18) on the line

18 = 1(5)+b

18-5 = b

13 = y

y = 1x +13

y = x+13