This page will go over some guidelines of graphing linear equations, writing linear equations, and solving systems of linear equations.
Linear Equations are usually written in Slope-Intercept form:
y=mx+b where m=slope (rise/run) and b=y-intercept (0, b).
The slope is the average rate of change from one point on the line to another point on the line. The y-intercept is the value of y when x is equal to zero.
Given two points from a line, you can write an equation for the line. All you have to do is find the slope and y-intercept. See the video below.
Two important words come up when dealing with linear equations: Parallel and Perpendicular. Parallel lines have the same slope as each other but different y intercepts. Perpendicular lines have slopes that are negative reciprocals of each other. Oftentimes, a problem will give you the equation of a line and ask you to write the equation of a parallel or perpendicular line.
You can use Slope-Intercept form to easily graph any linear equation. See the video below to learn how.
Linear equations are frequently used to represent real world problems. It's important to know how to interpret information modeled by linear equations. See the videos below:
A system of linear equations represents two lines. Solving this system is finding the point where the two lines intersect each other on the cartesian plane. Methods for solving systems of equations include graphing, elimination, and substitution.
