You have all the information you need to draw a single line on the map. Therefore the slope of this line is 2. The standard point slope formula looks like this: Create the equation that describes this line in point-slope form.
Example 2 Find the equation in point-slope form for the line shown in this graph: Your final result should look like: Write an equation in slope intercept form given the slope and y-intercept.
The point slope form gets its name because it uses a single point on the graph and the slope of the line. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
And of course, if you need more help, feel free to ask the volunteers on our math help message board. Continue reading for a couple of examples!
Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis. Real World Problems When you have a real world problem, there are two things that you want to look for!
The following are examples of a rate: We know how to use the point-slope form, so the final answer is: In the example above, you were given the slope and y-intercept. In the example above, we took a given point and slope and made an equation. You have a starting point on a map, and you are given a direction to head.
Try working it out on your own. You can also check your equation by analyzing the graph. Finding the slope requires a little calculation, but it is also pretty easy.
Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. You could have used any triangle to figure out the slope and you would still get the same answer.
Example 2 demonstrates how to write an equation based on a graph. Point-slope form is also used to take a graph and find the equation of that particular line. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.
Just plug the given values into your point-slope formula above.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.
You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form!
The "b" value (called the y-intercept) is where the line crosses the y-axis. Find the equation of the line that passes through the point (-2, 6) with a slope of 3. 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. Example 1: 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.
NOTES: I substituted the value for the slope (-2) for m and the value for the y-intercept (5) for b. Practice finding the equation of a line passing through two points If you're seeing this message, it means we're having trouble loading external resources on our website.
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