standard form into slope intercept calculator

And so if I want to solve for Y, I just divide both So what do I get? That cancels out, 5y minus 3y is 2y, is equal to 2x plus 3x is 5x, and then these two characters cancel out. And if I want to get rid of this 3y, well I subtract 3y from here, but I have to do it on the left-hand side if I want to maintain the equality. To do it to the right if I want to maintain the equality. You couldn't do this, I'mĭoing two steps at once, but once again, I'm trying to get rid of this 3x, so I'm trying to get rid of this negative 3x, so I add 3x to the left, but I have So I'm gonna add 3x to both sides, and let's get rid of Alright, so let's get all the Ys on the left-hand side isolated, and the Xs on the right-hand side. And like always, pause the video, and see if you can figure it out yourself. Is in neither slope-intercept or point-slope form to begin with, so let's just try to get Let's do one moreĮxample, one more example.

So our slope is onceĪgain, is negative two, and here our Y intercept is five, in case we wanted to know it. We have Y is equal to mx plus B, and so our M is the coefficient on the X term right over here. Right-hand side instead of the left-hand side. So if we divide everything by two, we get negative 2x plusįive is equal to Y. And now to solve for Y, we just have to divide both sides by two. Have negative 4x plus 10 is equal to 2y, these cancel out. So if we add three to both sides, on the left-hand side we On the right-hand side, since the 2y is already there. So let us collect, well let's get the Xs, let's just isolate the Y And if it's in either one of them, I like to get into slope Y intercept form, it's a little bit easierįor my brain to understand. So here, this equationĭoesn't immediately go into either one of theseįorms, so let's manipulate it. Say, alright my M here, the coefficient on the Slope Y intercept form, and once again, I could Two from both sides, and then I get Y is equal So the first thing my brain wants to do is distribute this negative two, and if I do that, I get Y plus two is equal to negative 2x, negative two times negative three, plus six. So let's do that, let's manipulate it so we get into slope-intercept form. Now another way to approach this is to just manipulate it so that we get into slope-intercept form. It's not the Y intercept, but it's a point on the line and we know the slope is negative two. That sits on this line, you could say, alright,Īn X1 would be three, and a Y1 would be negative two. 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.

Standard form into slope intercept calculator