It is just one method to writing an equation for a 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. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
Find the equation for this line in point slope form. Putting it all together, our point is -1,0 and our slope is 2. Note also that it is useful to pick a point on the axis, because one of the values will be zero. Your final result should look like: Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.
You have a starting point on a map, and you are given a direction to head. Point-slope form is also used to take a graph and find the equation of that particular line. Think about it this way: Try working it out on your own.
Example 1 You are given the point 4,3 and a slope of 2. Create the equation that describes this line in point-slope form. The point slope form gets its name because it uses a single point on the graph and the slope of the line.
We know how to use the point-slope form, so the final answer is: The standard point slope formula looks like this: Therefore the slope of this line is 2. 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.
Just plug the given values into your point-slope formula above.
You could have used any triangle to figure out the slope and you would still get the same answer. Your slope was given to you, so where you see m, use 2. To write the equation, we need two things: Your point is -1,5. And of course, if you need more help, feel free to ask the volunteers on our math help message board.
Finding the slope requires a little calculation, but it is also pretty easy. In this case it denotes a specific y value which you will plug into the equation.
The variable m is the slope of the line. It is simple to find a point because we just need ANY point on the line. Point-Slope Calculator Many functions to try!
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.If the slope of the line is -2/3 write the equation of the line using slope-intercept form.
A. Write the equation of the line that is parallel to the line whose equation is y =. General Form of Equation of a Line The "General Form" of the equation of a straight line is: Ax + By + C = 0.
A or B can be zero, but not both at the same time. It has the advantage of working well with vertical lines, which the Slope-Intercept Form and Point-Slope Form do not. Slope Intercept Form is a method used to find the equation of a straight line.
The slope intercept form equation is expressed as y = mx + c, where 'm' represents the slope of the line and 'c' represents the y-intercept of a line. Nov 16, · Rewrite the equation of a line in point-slope form to slope-intercept form: y minus 3 equals one-half times the quantity x minus 8 A.
y equals one-half x minus 7 B. y equals one-half x minus 4 C. y equals one-half x minus 5 D. y equals one-half x minus 1Status: Resolved.
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.
Writing Linear Equations Date_____ Period____ Write the slope-intercept form of the equation of each line. 1) 3 x − 2y = −16 2) 13 x − 11 y = −12 3) 9x Write the point-slope form of the equation of the line described. 17) through: (4, 2), parallel to y.Download