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PointSlope Form of Linear Equations  Concept
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Sometimes we're only given a couple of points on a line and then asked to write a linear equation. When given this information, it's easiest to use point slope form. Point slope form can be written using one point and the slope or when given two points since we can calculate the slope from the two points. Once we have an equation in point slope form it can be rewritten in slopeintercept or standard form.
The same equation for a line can be written in lots of different ways. You guys are probably already familiar with the point slope formula, which is what we're going to look at here today. The point slope form of an equation of a line looks like "yy1=m(xx1)" where m is the slope and "x1, y1" is a point on the line.
These little subscripts, those little 1's are just to show that we're representing a point. It's different from the y value and the x value. These guys in your answer are going to stay as the letters x and y. These little ones with the subscripts are going to become numbers.
The point slope form is not terribly useful by itself. Most of the time it's used as a way to get to slope intercept form.
You'll see more what I am talking about once you start doing some examples. But keep in mind this is a great way to start especially if you're given a point and a slope, hence the name.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (9)
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PointSlope Form of Linear Equations
Problem 1 9,672 viewsWrite the equation of the line that has slope ⅔ and contains the point (6,1).

PointSlope Form of Linear Equations
Problem 2 9,312 viewsWrite the equation of the line that contains the points (4,3) and (8,3). Put your equation in slopeintercept form.

PointSlope Form of Linear Equations
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Problem 4 575 views 
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Problem 7 524 views 
PointSlope Form of Linear Equations
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