# How to write a slope intercept equation given 2 points

Let me make that clear.

## Two point formula

So 6 minus 5 over 3 is the same thing as 6 is the same thing as 18 over 3 minus 5 over 3 6 is 18 over 3. Remember, we want, we can find the equation y is equal to mx plus b. Line will draw a rough approximation. So this y-intercept right over here. So we are done. We can first try to solve for m. This right here is y2, our ending y and this is our beginning y This is y1. I will draw a dotted line maybe Easier do dotted line. And this is just 13 over 3. So that's going to be, let me do it over here We take a common denominator. You can look at that visually there or you can use this formula same exact idea, our ending x-value, our ending x-value is 5 and our starting x-value is negative 1. So the line connects them will looks something like this. And we go down all the way to y is equal to negative 4 So this is rigth here, that is our change in y You can look at the graph and say, oh, if I start at 6 and I go to negative 4 I went down That's where the negative 10 comes from.

What is the equation of the line? It's a little bit steeper than a slope of 1.

### Slope formula

So that is my x axis. We know that when is equal to negative 1, So y is eqaul to 6. From the left handside and subtracted from the rigth handside And then we get, what's 6 minus 5 thirds. And we can write these as mixed numbers. So are change in x is 6. Solving for Slope-Intercept Form From Two Points Imagine that you've been asked to write the slope-intercept equation for a line that passes through the points -3, 5 and 2, And this is just 13 over 3. The equation of our line is y is equal to negative 5 thirds x plus our y-intercept which is 13 which is 13 over 3. Find the Slope of the Line Calculate the slope of the line. So it is 6.

Solve for the Y-Intercept Choose either of the points you were given and substitute those coordinates into the equation you have so far. That's 0 coma 13 over 3 or 0 coma 4 and 1 thirds.

And we go down all the way to y is equal to negative 4 So this is rigth here, that is our change in y You can look at the graph and say, oh, if I start at 6 and I go to negative 4 I went down So m, or the slope is the change in y over the change in x.

I will draw a dotted line maybe Easier do dotted line. Remember, we want, we can find the equation y is equal to mx plus b.

So we started at x is equal to negative 1, and we go all the way to x is equal to 5. So we get b is equal to 13 thirds.

### How to find a point on a line given the equation

And we go down 4, So 1, 2, 3, 4 So it's right over there. So y2, negative 4 minus y1, 6. What is the equation of the line? So it is 6. So let's just make this over here our starting point and make that our ending point. And even with my very roughly drawn diagram it those looks like this. Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. So let's see, this negative 1 times negative 5 thirds.

And the slope negative 5 thirds that's the same thing as negative 1 and 2 thirds. So, hopefully, you found that entertaining.

And you just have to pick one of these as the starting point and one as the ending point.

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