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.

point slope formula

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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How do you write an equation in standard form given point (