Question

describe the process in writing the equation of a line given two points?

Answer 1

The two points have the coordinates:
\[ P_1 = (x_1, y_1)\] and \[P_2 = (x_2, y_2)\]

The first thing to do is find the gradient (called m) using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1}\]

Then substitute the gradient and a set of coordinates into the equationn:
\[y - y_1 = m(x-x_1)\]

Multiply out of the bracket and rearrange to put the equation in the form:
\[y=mx +c\]