# Using point slope form to write an equation of a line

The variable m is the slope of the line. Example 1 You are given the point 4,3 and a slope of 2. Note also that it is useful to pick a point on the axis, because one of the values will be zero. Your slope was given to you, so where you see m, use 2. Finding the slope requires a little calculation, but it is also pretty easy. And of course, if you need more help, feel free to ask the volunteers on our math help message board.

Therefore the slope of this line is 2. Find the equation for this line in point slope form. You have a starting point on a map, and you are given a direction to head. Create the equation that describes this line in point-slope form.

You could have used any triangle to figure out the slope and you would still get the same answer. 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.

In this case it denotes a specific y value which you will plug into the equation. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Think about it this way: The point slope form gets its name because it uses a single point on the graph and the slope of the line.

As you can see, point-slope form is nothing too complicated. 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 standard point slope formula looks like this: Example 2 Find the equation in point-slope form for the line shown in this graph: It is simple to find a point because we just need ANY point on the line.

Putting it all together, our point is -1,0 and our slope is 2. Your point is -1,5. Your final result should look like: Point-Slope Calculator Many functions to try!

In the example above, we took a given point and slope and made an equation. Try working it out on your own. 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.

Point-slope form is also used to take a graph and find the equation of that particular line. We know how to use the point-slope form, so the final answer is: To write the equation, we need two things: It is just one method to writing an equation for a line.Writing linear equations using the point-slope form and the standard form There are other ways to write the linear equation of a straight line than the slope-intersect form previously described Example.

Point-Slope Equation of a Line The "point-slope" form of the equation of a straight line is: y − y 1 = m(x − x 1) The equation is useful when we know: one point on the line ; and the slope of the line, and want to find other points on the line. Let's find how. What does it stand for? When an equation is written in this form, m \maroonC m m start color maroonC, m, end color maroonC gives the slope of the line and (a, b) (\blueD a,\greenD b) (a, b) left parenthesis, start color blueD, a, end color blueD, comma, start color greenD, b, end color greenD, right parenthesis is a point the line passes through.

Watch video · So very quickly, you could use this information and your knowledge of point-slope form to write this in this form. You would just say, well, an equation that contains this point and has this slope would be y minus b, which is y minus the y-coordinate of the point that this line contains-- is equal to my slope times x minus the.

Use the online analytical point slope form calculator to find the equation of the straight line using the Point-Slope Method. The Point slope method uses the X and Y co-ordinates and the slope value to find the equation. A line contains the point (-3, 4). If the slope of the line is -2/3 write the equation of the line using slope-intercept form.

Using point slope form to write an equation of a line
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