SOLUTION: Please help me. I'm trying to figure out the answer to writing the standard form of this equation of the line through the pair of points (5,4) and (3,9). I have to write the equati

Algebra ->  Graphs -> SOLUTION: Please help me. I'm trying to figure out the answer to writing the standard form of this equation of the line through the pair of points (5,4) and (3,9). I have to write the equati      Log On


   

Question 975332: Please help me. I'm trying to figure out the answer to writing the standard form of this equation of the line through the pair of points (5,4) and (3,9). I have to write the equation using only integer coefficients.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Using formula for Slope,
m=%289-4%29%2F%283-5%29=5%2F%28-2%29=-5%2F2.

If you want to use Standard Form for the equation of the line,
5x%2B2y=C; and you choose EITHER of the given points to find value for C.

5x%2B2y=5%2A5%2B2%2A4,
and just compute the right hand side.


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You can choose any form of line equation you like. If chose to start with slope-intercept form, you can use b=y-mx and solve for b, and use algebra skills to put all the needed values back to y=mx+b and then transform into Ax+By=C form. OR you can use point-slope form to fill in y-y%5Bo%5D=m%28x-x%5Bo%5D%29 and use algebra skills to transform into Ax+By=C. Starting in standard form is more direct, if you know how this form works.