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

Find the equation for this line in point slope form. Just plug the given values into your point-slope formula above. The point slope form gets its name because it uses a single point on the graph and the slope of the line.

Try working it out on your own. It is just one method to writing an equation for a line. The standard point slope formula looks like this: Example 1 You are given the point 4,3 and a slope of 2. You have all the information you need to draw a single line on the map. Putting it all together, our point is -1,0 and our slope is 2.

Example 2 Find the equation in point-slope form for the line shown in this graph: Create the equation that describes this line in point-slope form. Finding the slope requires a little calculation, but it is also pretty easy. 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.

Therefore the slope of this line is 2. Point-Slope Calculator Many functions to try! Point-slope form is also used to take a graph and find the equation of that particular line. The variable m is the slope of the line.

Think about it this way: You could have used any triangle to figure out the slope and you would still get the same answer. To write the equation, we need two things: Your final result should look like: Your point is -1,5.

We know how to use the point-slope form, so the final answer is: And of course, if you need more help, feel free to ask the volunteers on our math help message board.

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. Your slope was given to you, so where you see m, use 2.

Note also that it is useful to pick a point on the axis, because one of the values will be zero.

Equation of a Straight Line

While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. 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.Free line equation calculator - find the equation of a line given two points, a slope, or intercept step-by-step.

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.

If you're behind a web filter, please make sure that the domains * and * are unblocked. Elementary Algebra Skill Writing Equations of Lines Given the Graph Write the slope-intercept form of the equation of e ach line.

1) −5−4−3−2−10 1 2 3 4 5. Resources / Lessons / Math / Algebra / Graphing Linear Equations / Graphing Linear Equations GO. Determining the Equation of a Line From a Graph Determining the Equation of a Line From a Graph.

Determine the equation of each line in slope intercept form. 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. Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept.

Determining the Equation of a Line From a Graph

This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

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