Write a slope intercept equation given two points

Equation given two points calculator

So m, or the slope is the change in y over the change in x. Or, we can view it as the y value of our end point minus the y value of our starting point over the x-value of our end point minus the x-value of our starting point. And to do that, we can use the information that we know in fact we have several points of information We can use the fact that the line goes through the point -1,6 you could use the other point as well. So we now know our equation will be y is equal to negative 5 thirds, that's our slope, x plus b. And you just have to pick one of these as the starting point and one as the ending point. So we still need to solve for y-intercept to get our equation. So it's this point, rigth over there, it's -1, 6. So our change in y, to go we started at y is equal to six, we started at y is equal to 6. Updated May 11, By Lisa Maloney Any straight line in Cartesian coordinates — the graphing system you're used to — can be represented by a basic algebraic equation. So are change in x is 6. So this is equal to change in y over change in x wich is the same thing as rise over run wich is the same thing as the y-value of your ending point minus the y-value of your starting point. Now we just have to find our change in x. So the line connects them will looks something like this.

That is equal to negative So the line will looks something like that. So we now know our equation will be y is equal to negative 5 thirds, that's our slope, x plus b. So let's just make this over here our starting point and make that our ending point.

Let me make that clear.

finding the equation of a line given two points

We know that when is equal to negative 1, So y is eqaul to 6. And you just have to pick one of these as the starting point and one as the ending point.

And now we can subtract 5 thirds from both sides of this equation.

Finding the equation of a line given two points worksheet

Next, subtract the x values of your two points. And this is just 13 over 3. Updated May 11, By Lisa Maloney Any straight line in Cartesian coordinates — the graphing system you're used to — can be represented by a basic algebraic equation. So the line connects them will looks something like this. We can find the slope of this line. And we go down 4, So 1, 2, 3, 4 So it's right over there. And the slope negative 5 thirds that's the same thing as negative 1 and 2 thirds. And you don't have to draw it to do this problem but it always help to visualize That is my y axis. So we can look at this graph over here.

This is the same exact thing as change in y and that over the x value of your ending point minus the x-value of your starting point This is the exact same thing as change in x.

We know We know the slope and we know the y-intercept.

Slope formula

So we get b is equal to 13 thirds. Updated May 11, By Lisa Maloney Any straight line in Cartesian coordinates — the graphing system you're used to — can be represented by a basic algebraic equation. Remember, we want, we can find the equation y is equal to mx plus b. Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. We know that when is equal to negative 1, So y is eqaul to 6. That's where the negative 10 comes from. 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. So we started at x is equal to negative 1, and we go all the way to x is equal to 5. So we are done.

Although the slope starts as a fraction, it's okay for it to simplify to a whole number; you don't have to leave it in fraction form. And we go down 4, So 1, 2, 3, 4 So it's right over there.

Next, subtract the x values of your two points.

two point formula

So let's see, this negative 1 times negative 5 thirds.

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Find the Equation of a Line Given That You Know Two Points it Passes Through