The standard point slope formula looks like this: 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.
Your slope was given to you, so where you see m, use 2. Therefore the slope of this line is 2. Think about it this way: Putting it all together, our point is -1,0 and our slope is 2. Example Find the x and y intercepts of the graph of the equations given below. We know how to use the point-slope form, so the final answer is: General Equation of a Line: The x intercept is at 10.
Point-slope form is also used to take a graph and find the equation of that particular line. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.
Your point is -1,5. In the example above, we took a given point and slope and made an equation. 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. You have all the information you need to draw a single line on the map. Point-Slope Calculator Many functions to try!
The x intercept is at 00. This will define equation in the example above, part a. The properties of the line such as slope and x and y intercepts are also explored. Your final result should look like: Example 2 Find the equation in point-slope form for the line shown in this graph: As you can see, point-slope form is nothing too complicated.
It is just one method to writing an equation for a line. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Does the position of the y intercept change? Finding the slope requires a little calculation, but it is also pretty easy.
Set a, b and c to some values.
Just plug the given values into your point-slope formula above. Does the position of the x intercept change? More pages related to this topic can be found in this site. Example 1 You are given the point 4,3 and a slope of 2. The y intercept is at 0 And of course, if you need more help, feel free to ask the volunteers on our math help message board.
Interactive Tutorial Using Java Applet Click on the button above "click here to start" and maximize the window obtained. You have a starting point on a map, and you are given a direction to head. Try working it out on your own. This will define equation in the example above, part b. You could have used any triangle to figure out the slope and you would still get the same answer.
Locate the x and y intercepts and compare with the solution above.The slope intercept form calculator will find the slope of the line passing through the two given points, Slope Intercept Form Calculator with Two Points.
i.e. write sin x (or even better sin(x)) instead of sinx. General Equation of a Line: ax + by = c x = 2 this is the equation of a vertical line that passes through all points with x coordinate equal to 2. Easy to use calculator to find slope and equation of a line through two billsimas.com Points Calculator; Another calculator to find slope, x and y intercepts given the equation of a line.
Two point form calculator This online calculator can find and plot the equation of a straight line passing through the two points.
The calculator will generate a step-by-step explanation on how to obtain the result. Question Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C Write the equation in the form Ax+By=C (5,-2)and(3,7).
Free line equation calculator - find the equation of a line step-by-step.
About Slope Intercept Form Calculator. The online Slope Intercept Form Calculator is used to help you find the slope intercept form for the equation of the straight line which passes through two points.Download