# Write an equation in standard form given point slope form

This equation is now in standard form. We want to find what the value of x is when y equals Negative eight over two is equal to negative four. Well we go from X equals four to X equals six. To do that, we just multiply both sides times X minus four. Okay, now what? Now from this can we now express this linear equation in y-intercept form? We have the point, sometimes they even put parenthesis like this, but we could figure out the point from this point-slope form.

The answer is to identify what you know and what you want to find out, and see which form uses those terms. Also, when solving systems of equations -- finding the point where two or more functions intersect -- the equations are often written in standard form. One minus nine. And the slope between any two points on a line are going to have to be constant.

## General form equation

And you could have even done it visually. You can also write an equation in standard form if you're only given two points on a line, although the easiest way to do it is to go through other formats first. We're going to go through these steps: Find the slope. Which is equal to two. And so let's do that. 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 When we subtracted it on the left, we put it in front of the y so it's in our pretty standard form. We have the point, sometimes they even put parenthesis like this, but we could figure out the point from this point-slope form.

Once again, we see the slope right over here and now we can figure out what the y-intercept is. Y minus nine is equal to, well let's distribute this negative four.

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