Before we begin, I need to introduce a little vocabulary. Then use your slope to plot your next point. Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. This means that our line must be "falling" from left to right.
Notice that the slope in this equation is negative. In the example above, you were given the slope and y-intercept. Always double check your line and your slope.
The slope is 2, so you will rise 2 up and run 1 to the right. You have to be very accurate in plotting your points and drawing your lines in order to be able to read your graph to find other solutions!
The y intercept is the point where your line crosses the y-axis. No problem, just check out the following video.
In this example, we will graph an equation that has a negative slope. The y-intercept is 0. If your slope is negative, then your line should "fall" from left to right. Using slope intercept form is one of the quickest and easiest ways to graph a linear equation.
You can also check your equation by analyzing the graph. Yes, it is rising; therefore, your slope should be positive! Example 1 will be explained again step by step. Write an equation in slope intercept form given the slope and y-intercept. This means that the y-intercept is at the origin or 0,0.To summarize how to write a linear equation using the slope-interception form you.
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. Writing linear equations using the slope-intercept form; Mathplanet is licensed by. Students learn to write the equation of a line in slope-intercept form using a table of ordered pairs.
The first step is to determine if the ordered pairs in the table lie on a line, so that slope-intercept form, or y = mx + b form, can be used to write the equation of the line.
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 mi-centre.com's okay for the beginner, but it can be a little time consuming. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.
All you need to know is the slope (rate) and the y-intercept.
Continue reading for a couple of examples! The slope intercept form equation is expressed as y = mx + c, where 'm' represents the slope of the line and 'c' represents the y-intercept of a line. You can find the equation of a straight line based on the slope and y-intercept using this slope intercept form calculator.
In this tutorial the author shows how to derive a slope-intercept equation of a line given an X-Y table. He explains that the general form of slope intercept form which is y = m*x + b.
Now he intends to find value of slope, i.e. m first. Now slope is change in y over change in x. He computes the slope using the X-Y values from the table. Next he substitutes a .Download