Question

A line passes through the points (5,20) and (6,21). Write a linear function rule in terms of x and y for this line.

Answer 1

Answer: y=x+15

Explanation:

Given

the line passes through (5,20) and (6,21)

Equation of line using the two-point form is

`\Rightarrow (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Putting values we get

`\Rightarrow (y-20)/(x-5)=(21-20)/(6-5)\\\\\Rightarrow y-20=(x-5)* 1\\\\\Rightarrow y=x+15`