Question

Let the independent and dependent variables of a line be x and y, respectively. Find the equation of the line with the given description.

Answer 1

`y = mx+b`

`m =(y_2 -y_2)/(x_2 -x_1)`

`b = y_1 -m x_1`

Or equivalently:

`b = y_2 - m x_2`

Explanation:

If we are assuming that we have:

x independent variable

y dependent variable

And we want to find an equation of the line, we have the following general expression:

`y = mx+b`

Where m represent the slope and b the y intercept. The general formula for the slope is given by:

`m =(y_2 -y_2)/(x_2 -x_1)`

Where
`(x_1,y_1) , (x_2,y_2)` are the minimum required points in order to estimate the slope.

In order to find the y intercept we just need to use one of the points selected
`(x_1,y_1) , (x_2,y_2)` and we can solve for b like this:

`b = y_1 -m x_1`

Or equivalently:

`b = y_2 - m x_2`