How To Solve Slope Problems

How To Solve Slope Problems-49
The slope intercept form is probably the most frequently used way to express equation of a line.To be able to use slope intercept form, all that you need to be able to do is 1) find the slope of a line and 2) find the y-intercept of a line.The fact that the line contains this point means that the value x is equal to 4/5, y is equal to 0 must satisfy this equation.

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So the equation becomes 5/2 is equal to-- that's a 0-- is equal to b. So the equation of our line is y is equal to 5/6 x plus b, which we just figured out is 5/2, plus 5/2.

So we get zero is equal to, well if we divide negative 3 by 3, that becomes a 1. I like to change my notation just so you get familiar with both. If I use the 2 first, I have to use the negative 1 first. So this is going to be equal to 2 minus negative 3.

I think the point of this problem is to get you familiar with function notation, for you to not get intimidated if you see something like this. Let me write it this way, negative 1 minus that guy, minus 1.5. If I use this coordinate first, then I have to use that coordinate first. If I did it as negative 3 minus 2 over 1.5 minus negative 1, this should be minus the 2 over 1.5 minus the negative 1.

When we move in x, when our change in x is 1, so that is our change in x. I'm just deciding to change my x by 1, increment by 1. So change in y over change in x, change in y is 4 when change in x is 1. This is just a fancy way of saying that both of these two points are on the line, nothing unusual. The slope which is change in y over change in x is equal to, let's start with 2 minus this guy, negative 3-- these are the y-values-- over, all of that over, negative 1 minus this guy. Actually I'll take a little aside to show you it doesn't matter what order I do this in. Negative 3 minus 2 is negative 5 over 1.5 minus negative 1.

Also,since the line is horizontal, every point on that line has the exact same y value.

In this video I'm going to do a bunch of examples of finding the equations of lines in slope-intercept form. So we know that m is equal to negative 1, but we're not 100% sure about where the y-intercept is just yet. So let's see, we get a 0 is equal to negative 4/5 plus b. So the first thing we can do is figure out the slope.

While there are infinitely-many different literal equations, some kinds are more likely to be important, and sooner, than other.

Probably one of the most important classes of literal equations we often need to solve will be linear equations.

Since a vertical line goes straight up and down, its slope is undefined.

Also, the x value of every point on a vertical line is the same.


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