Question

Is there an easier way to find standard form when dealing with graphing

Answer 1

Given a graph, you need two points to determine the equation of the line in standard form.

The standard form of a line is :

`Ax+By=C`

If you already have two points on the line, you can use the two point formula :

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

For example, if you have the points (1, 3) and (4, 6)

The equation will be :

`y-3=(6-3)/(4-1)(x+1)`

Simplify and rewrite in standard form.

`\begin{gathered} y-3=(3)/(3)(x+1) \\ y-3=x+1 \\ -x+y=1+3 \\ -x+y=4 \\ x-y=-4 \end{gathered}`

The equation in standard form is x - y = -4