And of course, if you need more help, feel free to ask the volunteers on our math help message board. The standard point slope formula looks like this: As you can see, point-slope form is nothing too complicated. To write the equation, we need two things: Just plug the given values into your point-slope formula above.
Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. Example 1 You are given the point 4,3 and a slope of 2. Your final result should look like: We know how to use the point-slope form, so the final answer is: Try working it out on your own.
The point slope form gets its name because it uses a single point on the graph and the slope of the line.
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. You have all the information you need to draw a single line on the map.
Your point is -1,5.
Create the equation that describes this line in point-slope form. Point-slope form is also used to take a graph and find the equation of that particular line.
You have a starting point on a map, and you are given a direction to head. Find the equation for this line in point slope form. Putting it all together, our point is -1,0 and our slope is 2.
Finding the slope requires a little calculation, but it is also pretty easy. Your slope was given to you, so where you see m, use 2. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
In the example above, we took a given point and slope and made an equation. Therefore the slope of this line is 2. It is simple to find a point because we just need ANY point on the line. Think about it this way: It is just one method to writing an equation for a line.
Note also that it is useful to pick a point on the axis, because one of the values will be zero. The variable m is the slope of the line. Example 2 Find the equation in point-slope form for the line shown in this graph: Point-Slope Calculator Many functions to try!
In this case it denotes a specific y value which you will plug into the equation.You can find the straight-line equation using the point-slope form if they just give you a couple points: Find the equation of the line that passes through the points (–2, 4) and (1, 2).
I've already answered this one, but let's look at the process. SOLUTION: Write and equation in point-slope form for a line perpendicular to y=2/3x+1 and goes through the point (8,-4).
Algebra -> Graphs -> SOLUTION: Write and equation in point-slope form for a line perpendicular to y=2/3x+1 and goes through the point (8,-4). To write the equation of a line, all you need is one point it passes through and the slope.
That's because the point is (x, y) and the slope is m, so when you substitute these values into y = mx + b, you just have to solve for b. Point-Slope to Slope Intercept, Parallel and Perpendicular Lines/Write Equations, Write the Equation of the Line:Given two points.
Algebra > Lines > Finding the Equation of a Line Given a Point and a Slope. Page 1 of 2. Let's find the equation of the line that passes through the point (4, -3) Perpendicular Lines.
Graphing Linear Inequalities.
Feb 01, · Write an equation of a line in slope intercept form that is perpendicular to y = -4x -2 and passes through the point (, ). 9. Write an equation of a line in slope intercept form that is parallel to the line x + 4y = 6 and passes through (-8, 5).Status: Resolved.Download