Standard form math help! linear equations.. please?

okay so im doing linear equations and these set of problems says standard form. so i know what it is: Ax+By=C but i dont understand how to get it or what you do. can you help me ive tried and im so confused! Thanks so much:)





so here are some of the problems:





1. (-4,3) and (-5,8)





2. (2,5) and (1,3)





3. (0,0) and (-2,4)





4. (12,-15) and (10,-6)





5. (5,-1) and (8,-3)





6. (10,-1) and (10,-7)











THANK YOU SO MUCH!!!!!!!





i need help really bad.

Standard form math help! linear equations.. please?
for a set of co-ordinates lets say -4,3 and -5,8


find the slope


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


= (3-8) / [-4 -(-5)]


= -5/(-4+5)


= -5/ 1


= -5


slope is -5.


rewrite your Ax+By - C in y=mx + b form


so m(slope) = -5


now y=-5x + b


substitute any pair of the values that you are given


so substituting (-4,3) in the eq


3 = -5(-4) +b


b = 3 - 20


b = -17


so your equation is y = -5x - 17


put it in the Ax+By - C form


5x+17+y = o