And I can put the two points in. The standard point slope formula looks like this: The whole point of that is you have x minus a divided by x minus a, which is just going to be equal to 1. So this is going to be equal to m. Create the equation that describes this line in point-slope form.
Your final result should look like: So this right over here is the point-slope form of the equation that describes this line. Now, why is it called point-slope form?
While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
So this right over here is slope-intercept form. And of course, if you need more help, feel free to ask the volunteers on our math help message board. To do that, we just have to distribute this 2. So this whole thing has simplified to y minus b is equal to m times x minus a.
Just plug the given values into your point-slope formula above. So x minus negative 7. 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. 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 x-coordinate that this line contains.
And the exact same logic-- we start at x equals a. Point-Slope Calculator Many functions to try! You have your slope and your y-intercept.
Example 2 Find the equation in point-slope form for the line shown in this graph: Your point is -1,5. Let me write that. And right here, this is a form that people, that mathematicians, have categorized as point-slope form. It is simple to find a point because we just need ANY point on the line. Therefore the slope of this line is 2.
So if we multiply both sides by x minus a-- so x minus a on the left-hand side and x minus a on the right. Find the equation for this line in point slope form. Well, our change in y-- remember slope is just change in y over change in x. It is just one method to writing an equation for a line.
In the example above, we took a given point and slope and made an equation. You have all the information you need to draw a single line on the map.
And we know this is the slope between these two points.Point slop is one of the method used to find the straight line equation. Use the below point slope form calculator to calculate the equation of the straight line by entering the value for slope and coordinate point (X1, Y1).
Straight-Line Equations: Point-Slope Form. Slope-Intercept Form Point-Slope Form Parallel, Perpendicular Lines. Purplemath. You can use the Mathway widget below to practice finding a line equation using the point-slope formula.
Try the entered exercise, or type in your own exercise. Then click "Answer" to compare your answer to Mathway's. Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.
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 the example above, we took a given point and slope and made an equation.
Review point-slope form and how to use it to solve problems. 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 .Download