However, sometimes you will see equations that are written in standard form. What is Standard Form? Standard Form is presented as:
In this unit, you will be graphing linear equations. So, before we get started with all of the lessons above, I'd like to briefly introduce you to linear equations and review how to graph points on a coordinate plane, So, what exactly is a linear equation?
An equation is defined as linear when it's graph presents a straight line. A linear equation can have more than one variable.
Examples of Linear Equations Before you get started, let's just do a quick review of how to graph points on a coordinate plane! Brief Overview of Graphing on a Coordinate Plane A coordinate plane is a graph formed by two number lines.
There is a horizontal number line called the x-axis. There is also a vertical number line called the y-axis. The origin is where the x-axis and y-axis intersect. This point is 0,0. You can locate any point on the graph using ordered pairs. An ordered pair is made up of 2 numbers, an x-coordinate and a y-coordinate.
It is always written inside of parentheses. If you haven't graphed points on a coordinate plane in a while, it might be a good idea to practice before you start the Algebra lessons.Graphing Linear Equations in Standard Form.
You have learned many techniques for graphing linear equations that are written in slope intercept form!Yes if the equation is already written in slope intercept form, graphing is pretty easy!
This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
When two parallel lines are “cut” by a transversal, some special properties arise. We will begin by stating these properties, and then we can use these properties to solve some problems.
PROPERTY 1: When two parallel lines are cut by. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.. If you know two points that a line passes through, this page will show you how to find the equation of the line.
We already know that a big part of algebra is solving for an unknown value. Sometimes it takes more than one step to solve the equation. You have to be able to determine which step to do first. Learners will be required to convert the linear equation to slope-intercept form and identify the slope and y-intercept based on the linear equation provided.
They will also frame the equation of a line; write the equation of a parallel or perpendicular line in y = mx + c form based on the given slope and intercept.