Equation of a Line in General Form
Goal:
­ to write the equation of a line in general form
­ to find the slope and intercepts from the general form
­ to convert between function and general form
1
We have seen that y=ax+b is called the function form of the equation of a line.
What could other forms look like?
2
The general form of the equation of a line is represented as:
In this form, the slope and intercepts can be found by solving or by applying the following formulas:
3
Ex: a) Find the equation of a line in general form that has an x­intercept at x=3 and a y­intercept at y=­6.
b) Find the equation a line in general form that has a slope of ­3 and passes through (­1,5).
4
Convert:
a) y=1/2x­5 to general form
b) 3x­4y+8=0 to function form
5
6