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Algebra
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What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)?

Jun 16th, 2015

Thank you for the opportunity to help you with your question!

point slope form is (y-y1) = m(x-x1)  where m is the slope and x1,y1 is a point on the line.

We need to find the slope first  which is given by


m =( y2-y1 ) /(x2 - x1)

We have two points (x1,y1) = (4,0)  and (x2,y2) = (2,6)

m = (6 -0 ) / (2-4)  = 6/-2  = -3

substituting m = -3 and (x1,y1) = (4,0) in slope point form

The equation in the slope point form will be

y-0 = -3 (x-4)

y = -3(x-4) choice 3 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 16th, 2015

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