SOLUTION: find an equation in standard form of the line containing the given points: (1/6,-1/3) (5/6,3)

Algebra ->  Linear-equations -> SOLUTION: find an equation in standard form of the line containing the given points: (1/6,-1/3) (5/6,3)      Log On


   

Question 435808: find an equation in standard form of the line containing the given points: (1/6,-1/3) (5/6,3)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(1/6,-1/3) 

(5/6,  3)  m = %28-4%2F3%29%2F%28-4%2F6%29+=+2

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept. 

  y = 2x+ b

  3 = 2*5/6 + b  |using ordered pair Pt(5/6,3) to solve for b

  1/3 = b

      y = 2x + 1/3   OR 6x - 3y = -1