SOLUTION: I am trying to write an equation in slope-intercept form. I know how to find the slope if I am given 2 points, but once I have the slope, I don't know how to find the y intercept.

Question 113006: I am trying to write an equation in slope-intercept form. I know how to find the slope if I am given 2 points, but once I have the slope, I don't know how to find the y intercept. I am using a this form (((y=mx+b))) How do I find b?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
It's probably better to show you with an example:
Write the equation, in slope-intercept form, of the line passing through the two points (2, -5) and (4, 7).
Starting with the general form y = mx + b, you can first find the slope, m.

So now you have:
To find the value of b, the y-intercept, you substitute the x and y of this equation with the x and y of either one of the two given points and solve for b. We'll use the first point (2, -5), so x = 2 and y = -5

Subtract 12 from both sides.

The final equation is:

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