You have a positive slope. All you need to know is the slope rate and the y-intercept. Is your graph rising from left to right? There are several different ways to graph linear equations. The y-intercept is 0. The variables x and y should always remain variables when writing a linear equation.
If your slope is positive, then your line should "rise" from left to right. Continue reading for a couple of examples! Then plot your next point at -1,3. Before we begin, I need to introduce a little vocabulary.
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! 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. 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.
Notice that the slope in this equation is negative. Real World Problems When you have a real world problem, there are two things that you want to look for! Write an equation in slope intercept form given the slope and y-intercept.
Therefore, from the y-intercept, we will count down 1 and right 3. Any point on that line is a solution to the equation.
Your point will always be 0, b. Calculate the slope from the y-intercept to the second point. If you have two points, you can draw a straight line and this is the line that represents your equation. Example 2 demonstrates how to write an equation based on a graph.Improve your math knowledge with free questions in "Slope-intercept form: write an equation from a graph" and thousands of other math skills.
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. Watch video · So you may or may not already know that any linear equation can be written in the form y is equal to mx plus b.
Where m is the slope of the line. The same slope that we've been dealing with the last few videos. The rise over run of the line. Or the inclination of the line.
And b is the y-intercept.
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.
This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b). In this form only (when your equation is written as y = .) the coefficient of x is the slope and the constant is the y intercept.
When an equation is written in this form, you can look at the equation and have enough information to graph the equation. which is the same equation as we got when we read the y-intercept from the graph.
To summarize how to write a linear equation using the .Download