### Point Slope Form of an Equation

The

*point-slope form*of a linear equation is an equation of the form y – y_{1}= m(x – x_{1}), where m is the slope of the graph and the point (x_{1}, y_{1}) is a point that lies on the graph.If you are given a point that lies on a line and the slope of the line, you can immediately write the equation in point-slope form.

If you are given two points that lie on a line, first find the slope using the formula for the slope, then use either point to write the equation in point-slope form.

You now have 3 forms of a linear equation: point-slope, slope-intercept, and standard form. You can convert from one form to the other two forms using algebraic transformations of the given equation.

### Point Slope Form of an Equation

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Point Slope Form 0:11
- Example
- Lecture Example 1 2:03
- Lecture Example 2 3:03
- Additional Example 3
- Additional Example 4

2 answers

Last reply by: julius mogyorossy

Mon Aug 29, 2011 8:57 PM

Post by Mary Eastman on July 17, 2011

My answer I get for an equation I'm needing to write is: y-(9)=-2(x-5) i know this is in Point-Slope form but my instructor wants to see it in y=mx+b format. How do I do that? Thanks for any help I can get :D

0 answers

Post by james gordon on April 15, 2011

Re: Additional example 4

Express these 2 points (-6,-9) (-4,-8) in

point-slope form:

When I use the second point, (-4,-8), in my solution I get the correct answer y+8=1/2(x+4)

BUT

when I use the first point, (-6,-9), I get a different answer of y+9=1/2(x+6)

Is my second answer correct?

0 answers

Post by Matthew Chantry on January 1, 2011

When I follow along and work it out his way (getting rid of the fraction), I too get the final answer of y=(2/3)x+(17/3).

However, any other way I try it, I get y=(2/3)x=(23/3).

Any ideas?