Question

In two or more complete sentences describe the process in writing the equation of a line given two points.

Answer 1

Let (
`x_0, y_0`) and (
`x_1, y_1`) be two points belonging to a line, then from these two points we can find the equation of the line of the form

y = mx + b

where m is the slope and b is the cut point with the y axis.

the slope of the line is found with the following formula.

`m = (y_1-y_0)/(x_1-x_0)`

To find b substitute
`x_0` and
`y_0` in the equation and clear b. (You can also replace
`x_1` and
`y_1`)

`y_0 = mx_0 + b\\ b = (y_0-mx_0)`

After finding the value of m and b, you already have the necessary parameters to write the equation of the line y = mx + b