There is negative two, and then if I were to ask you, well give me a point Two times X minus three, and then you see it's exactly this point-slope form right over here. Y minus negative two is equal to negative Well, you could just rewrite this, so it says, so you have That answers our question, our slope would be negative two. You might say, well okay, I see I have a minus X1, so X1 would be three, I have my slope here and So it might immediately jump out at you that this is actually That the point X1, Y1 is going to be on this line. The Y intercept doesn't jump out at you, but you know a point that is on this line. Let me make sure youĬan read this over here. And here the Y interceptĭoesn't jump out at you. Is equal to M times X minus X1, well then I immediately know that the line that this equation describes is going to have a slope of M once again. If I have an equation of the form Y minus Y1 Or the general template for point-slope form is, And B is going to be my Y intercept, we cover that in many other videos. For example, if I can manipulate that equation to be in the form Y is equal to MX plus B, well then I know that this M here, theĬoefficient on the X term, well that's going to be my slope. What my brain wants to do is well, I know a few forms where it's easy to pick out the slope. That this equation describes? And there's a couple of ways And, what I wanna do is figure out what is the slope of the line Equation Y plus two is equal to negative two, times X minus three.

Khan academy graphing linear equations