Show that the formula for a line through two points (a1,b1) and (a2,b2) is:

y=(b1-b2)/(a1-a2) * x + (a1*b2-a2*b1)/(a1-a2)

The slope part looks right. Could someone explain how the y-intercept part makes sense?

I would think that the y-intercept is:
b1-slope*a1
or
b2-slope*a2

anyone have any ideas?

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