Do you think Maths is a complex subject?

As we saw in the article "Why Study Math and Algebra 1 ? - Linear Equations and Slope-Intercept Form," linear equations or functions are some of the more basic ones studied in College algebra and basic mathematics. Here we are going to take a look at and examine another common way of writing Linear equations: the point-slope form.

As the name implies, the point-slope form for the equation of a line depends on two things: the slope, and a given point on the line. Once we know these two things, we can write the equation of the line. In mathematical terms, the point-slope form of the equation of the line which passes through the given point (x1, y1) with a slope of m, is y - y1 = m(x - x1). (The 1 after the x and y is actually a subscript which allows us to distinguish x1 from x and y1 from y.)

To show how this form is used, take a look at the following example: Suppose we have a line which has slope 3 and passes through the point (1, 2). We can easily graph this line by locating the point (1, 2) and then use the slope of 3 to go 3 units up and then 1 unit to the right. To write the equation of the line, we use a clever little device. We introduce the variables x and y as a point (x,y). In the point-slope form y - y1 = m(x - x1), we have (1, 2) as the point (x1, y1). We then write y - 2 = 3(x - 1). By using the distributive property on the right hand side of the equation, we can write y - 2 = 3x - 3. By bringing the -2 over to the right side, we can write
y = 3x -1. If you have not already recognized it, this latter Math answers is in slope-intercept form.

If you do have trouble understanding it when you first get started, don't panic. Ask your instructor for help. If your text book doesn't make it clear, you may need to get a supplemental text to help. You can find supplemental text books in your school library or online.
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