# Write an equation in point slope form of the line through points with slopes

My axis right here, I haven't drawn it high enough, but if I made it even taller and taller and you see this line is gonna intersect the y-axis when Y is equal to, Y is equal to And we've plotted that point there.

So your change in, let me write this.

Which is equal to two. One minus nine. Evaluate the values of the coordinates found above in the slope formula.

### Point slope formula calculator

So let's do that. And now, if we just want to isolate the Y on the left hand side, we can add nine to both sides. The point that sits on this line with things that make both sides of this equation equal to zero. So there you go, we wrote it in point-slope form, that is that right over there, and we wrote it in Y, sorry, we wrote it in slope, we wrote it in slope-intercept form. In other words, if you can remember the slope formula then the point-slope form should naturally come to you. Finally, rewrite the equation such that the y-variables are on the left side to get to the desired form. So let's first think about point-slope form. Write the point-slope in two ways, and show that they are equivalent equations. And what's that going to be? Sometimes people say rise over run. Solution: Identify any point on the line. So if we find the difference between that Y and this Y, and nine, and it's over the difference between some X on the line and this X, and four. Change in Y over change in X.

Let's distribute this negative four. Notice that it can actually be written in two ways because we have two points here.

### Slope equation

Negative four times X is negative four X. My axis right here, I haven't drawn it high enough, but if I made it even taller and taller and you see this line is gonna intersect the y-axis when Y is equal to, Y is equal to And y-intercept form, just as a bit of a reminder, it's Y is equal to MX plus B. This point right over here is the point six comma one. Remember the rule that two negative signs become positive. So your change in, let me write this. Finally, rewrite the equation such that the y-variables are on the left side to get to the desired form. So this is going to be equal to, this is going to be equal to negative eight. Writing the point-slope form of the lineā¦ You might also be interested in:. So your change in X is equal to two.

And the way I like to it is I always like to just take it straight from the definition of what slope is. And what's our change in X?

Let's add nine, let's add nine to both sides. Negative four time negative four is plus

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