You must learn some facts about lines, their graphs and their equations. The equation of a non-vertical graphed line that goes through point x1,y1 and has slope is 2. The equation of a non-vertical graphed line that has slope and y-intercept is 4. Two non-vertical parallel lines have the same slope.
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. The y-intercept is 0. Since there is no number value for b, the y-intercept is 0. This means that the y-intercept is at the origin or 0,0. Therefore, from the y-intercept, we will count down 1 and right 3. Then plot your next point at -1,3.
Notice that the slope in this equation is negative.Equation of Straight Line Once a line of best fit has been placed upon a scatter graph it is straightforward to find the equation. The general equation of a straight line is.
In this lesson you will learn to write an equation for a line of best fit by identifying the y-intercept and slope.
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Quick Graphs of Linear Equations equation for the line and solve for y. The of a linear equation is y= mx+ b. As you saw in the The slope-intercept form of an equation gives you a quick way to graph the equation. STEP Write the equation in slope-intercept form by solving for y. Problem 64E: Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation.
Write the answer in slope-intercept form. Write the . Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x + y = Include your work in your final answer.
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