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Slope intercept form equation with two points

Writing equations from any two points. Let's write the equation of the line that passes through and in slope-intercept form. Note that we are not given the -intercept of the line. This makes

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Using Two Points to Write an Equation

We know We know the slope and we know the y-intercept. 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. And we can write these as mixed numbers. if it's easier to visualize. 13 over 3 is four and 1 thirds.

Two Point Form

The slope-intercept form is y=mx+b. To find the slope, m, take the x-coordinates of the two points and subtract them. Then, take the y-coordinates of the two points and subtract