Question

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

Answer 1

Answer:

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.

$m = \frac{y_1-y_0}{x_1-x_0}$

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