# Using the point slope form to write an equation

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. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. The point-slope form is the easiest form to use when given either of these two situations: The name comes from the wit one can graph a line given only the slope and one point Definition for the point-slope form of a linear equation with two unknowns.

## Mathway | Find the Equation Using Point-Slope Form (8,2)(-3,8)

Slope and Point Given The easiest way to write a linear function in slope-intercept form given the slope and a point is to use the point-slope equation. Here is a typical problem: Find the equation in slope-intercept form with a slope of 2 going through the point 3,2.

Substitute the values into the equation, to get: Two Points Given Given the two points? Use the point-slope equation. Find the equation in slope-intercept form through the following points: First label the points: Next compute the slope See Slope-Intercept Form Now, pull it together using the point-slope equation.

You can use either point to find the equation. Then use the other point to double check your work. You will find, in this example, the equation will be the same as in the previous problem. So we know the other point is a solution as well.

Substitute the values to get: Use the point-slope equation when you need to find the slope-intercept form given: Use both points to find the slope m if you were given two points.

Copy the master equation: Then fill in the blanks for, m, y0, and x0 4. Convert to slope-intercept form to solve for a particular value of x or y. One final example For full points from your teacher, you should write it out and graph it; then label the graph just like the example!

## What does it stand for?

For information and tips visit http:Given a table of x and y values, is it possible to write a linear equation from this information? There will be several steps involved. First is to use the point-slope formula to find a slope.

To write an equation in point-slope form, given a graph of that equation, first determine the slope by picking two points. Then pick any point on the line and write it as an ordered pair (h, k). Using the point-slope form, you can find the equation that relates the sales y and the year t to be y – = (t – 6) Write in point-slope form. Write the Equation of the Line – Review 1. Use the graph showing line b below to answer the following. Be sure to show the steps which justify EACH part of each answer.

[BINGSNIPMIX-3

Your work will be graded based on the explanations that Write an equation in point-slope form for this line. f) Re-write your equation from part e in standard form. REF: Point-Slope Form and Writing Linear Equations OBJ: Using Point-Slope Form STA: CA A1 | CA A1 TOP: Example 2 KEY: slope-intercept form | linear equation.

To write an equation in point-slope form, given a graph of that equation, first determine the slope by picking two points.

Then pick any point on the line and write it as an ordered pair (h, k).

Slope-intercept Form of Equation of a Line Worksheets