Straight Line Equation

Let us study EQUATION OF A STRAIGHT LINE

In Mathematics, equations such as

2x+y=6

are designated as linear equations, and their graphs are shown to be straight lines. The purpose of this discussion is to study the relationship of slope to the equation of a straight line.

POINT-SLOPE FORM

Suppose that we want to find the equation of a straight line that passes through a known point and has a known slope. Let (x,y) represent the coordinates of any point on the line, and let (x,,y,) represent the coordinates of the known point. The slope is represented by m.

Recalling the formula defining slope in terms of the coordinates of two points, we have