Finding the slope of a line on a graph and writing an equation

To write the equation, we need two things: You have all the information you need to draw a single line on the map. Just plug the given values into your point-slope formula above. The variable m is the slope of the line.

Point-slope form is also used to take a graph and find the equation of that particular line. Find the equation for this line in point slope form.

Try working it out on your own. And of course, if you need more help, feel free to ask the volunteers on our math help message board. Your slope was given to you, so where you see m, use 2. In the example above, we took a given point and slope and made an equation.

It is just one method to writing an equation for a line.

Line Equations Calculator

We know how to use the point-slope form, so the final answer is: You have a starting point on a map, and you are given a direction to head. Example 1 You are given the point 4,3 and a slope of 2. Point-Slope Calculator Many functions to try! In this case it denotes a specific y value which you will plug into the equation.

As you can see, point-slope form is nothing too complicated. It is simple to find a point because we just need ANY point on the line. Finding the slope requires a little calculation, but it is also pretty easy.

Using the Point-Slope Form of a Line

The standard point slope formula looks like this: Think about it this way: You could have used any triangle to figure out the slope and you would still get the same answer. Example 2 Find the equation in point-slope form for the line shown in this graph: 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.

Create the equation that describes this line in point-slope form. Your final result should look like: Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.

The point slope form gets its name because it uses a single point on the graph and the slope of the line. Note also that it is useful to pick a point on the axis, because one of the values will be zero.

Putting it all together, our point is -1,0 and our slope is 2. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.

Therefore the slope of this line is 2. Your point is -1,5.Sep 09,  · This video provides an example of how to determine the equation of a line in slope intercept form given the graph of a line.

Parallel and Perpendicular Lines

Writing Linear Equations: Slope How to find the equation. This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.). I like slope. Example: Find the equation of the line that is: parallel to y = 2x + 1 ; and passes though the point (5,4) The slope of y=2x+1 is: 2.

The parallel line needs to have the same slope of 2. Practice finding the slope-intercept equation of a line from its graph. If you're seeing this message, it means we're having trouble loading external resources on our website.

Equation of a Straight Line

If you're behind a web filter, please make sure that the domains * and * are unblocked. Finding Slope and the Y-intercept from a Linear Equation Worksheets These Linear Equations Worksheets will produce problems for practicing finding the slope and Y-intercept from an equation.

You may select the type of problems to produce and the solutions that the students must perform.

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope

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 a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Finding the slope of a line on a graph and writing an equation
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