There are several different ways to graph linear equations. Using slope intercept form is one of the quickest and easiest ways to graph a linear equation. Before we begin, I need to introduce a little vocabulary. We are going to talk about x and y intercepts.
Graphing a Linear Equation Using Slope Intercept Form Now that you've completed a lesson on graphing slope you are finally ready to graph linear equations.
There are several different ways to graph linear equations. You've already learned how to graph using a table of values. That's okay for the beginner, but it can be a little time consuming.
Using slope intercept form is one of the quickest and easiest ways to graph a linear equation. Before we begin, I need to introduce a little vocabulary. We are going to talk about x and y intercepts. An x intercept is the point where your line crosses the x-axis.
The y intercept is the point where your line crosses the y-axis. We are only going to focus on the y intercept in this lesson, but you'll need to know x intercept for later. Let's take a look at intercepts. Slope intercept form is used when your linear equation is written in the form: When an equation is written in this form, you can look at the equation and have enough information to graph the equation.
Plot the y-intercept on your graph. The y-intercept is 4, so I will plot the point 0,4 Step 2: From the y-intercept 0,4 use the slope to plot your next point.
The slope is 2, so you will rise 2 up and run 1 to the right. Draw a line through your two points. Every point on this line is a solution to this equation. Need a little more clarification? No problem, just check out the following video. Example 1 will be explained again step by step.
Let's take a look at one more example. In this example, we will graph an equation that has a negative slope.Tutorial on Equation of Line. This is a tutorial on how to find the slopes and equations of lines.A review of the main results concerning lines and slopes and then examples with detailed solutions are presented.
Algebra 1 Here is a list of all of the skills students learn in Algebra 1! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill.
Linear function interactive app (explanation below): Here we have an application that let's you change the slope and y-intercept for a line on the (x, y) plane. You change these values by clicking on the '+' and '-' buttons.
After each click the graph will be redrawn and the equation for the line will be redisplayed using the new values. A linear function is of the form y = mx + b In the applet below, move the sliders on the right to change the values of coefficients m and b and note the effects it has on the graph.
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Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2. Graph from slope-intercept equation. Graphing slope-intercept form. Practice: Graph from slope-intercept form. This is the currently selected item. Improve your math knowledge with free questions in "Slope-intercept form: graph an equation" and thousands of other math skills. Linear Equations. A linear equation is an equation for a straight line. These are all linear equations: The most common form is the slope-intercept equation of a straight line: Slope (or Gradient) Y Intercept: of a Straight Line Y Intercept of a Straight Line Distance Between 2 Points Finding Intercepts From an Equation Graph Menu.