# Write an equation in slope intercept form for the line through the two points

There is, ironically, no standard definition of "standard form". They've given me the value for m, along with values for an x and a y.

I will draw a dotted line maybe Easier do dotted line. No matter what you call it, this becomes the numerator or top number of the fraction that will represent your line's slope.

So we literally just substitute this x and y value back into this and know we can solve for b. So that is my x axis.

You can see here the slope is downward because the slope is negative. From the left handside and subtracted from the rigth handside And then we get, what's 6 minus 5 thirds.

## Equation given two points calculator

So negative 1 coma, 1, 2, 3, 4 ,5 6. Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. So the line connects them will looks something like this. So we still need to solve for y-intercept to get our equation. 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 that when is equal to negative 1, So y is eqaul to 6. I can draw a straighter than that. So the only thing I don't have so far is a value for is b which gives me the y-intercept. We know We know the slope and we know the y-intercept. So m, or the slope is the change in y over the change in x. So it takes us one to go to zero and then five more. This is often described as rise over run, or the change in the y coordinates of the two points over the change in x coordinates.

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