How would I find point slope form, slope intercept form, and standard form for these three sets of coordinates. (5,3) (5,-1) (2,6) (4,-2) (-4,-3) (-1,-4)

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  1. Sorry, the coordinates were not in the correct order just ignore them and explain how to do point slope form, slope intercept form and standard form if you can please.

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  2. point slope relies on the fact that the slope m of a line is constant. So, for any point (x,y) on the line through (h,k), the slope

    (y-k)/(h-k) = m

    slope-intercept just reflects the fact that if the slope is m, every time x changes by 1, y changes by m.

    so, y = mx

    That intersects the axes at (0,0). If you know the y-intercept is y=b, the slope doesn't change, so

    y = mx+b

    don't know what you want to say about the standard form ax+by=c. That's just the way it's written.

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