Question

A line includes the points (1,0) and (2,6). What is the equation in slope-intercept form.

Answer 1

First, let's calculate the slope of the line:

`m=(6-0)/(2-1)\Rightarrow m=6`

Let's use a generic slope-intercept equation, the slope we just calculated and point (1, 0) as following:

`\begin{gathered} y=mx+b \\ \Rightarrow0=6(1)+b \end{gathered}`

Solving for b (the y-intercept):

`\begin{gathered} 0=6(1)+b \\ \Rightarrow-6=b \end{gathered}`

This way, we can conclude that the equation of the line in the slope-intercept form is:

`y=6x-6`