SOLUTION: Write an equation, in slope-intercept form if possible, of the line through the pair of points. [-1/3, 2/3] and [1/3, 7/3]

Algebra ->  Linear-equations -> SOLUTION: Write an equation, in slope-intercept form if possible, of the line through the pair of points. [-1/3, 2/3] and [1/3, 7/3]      Log On


   

Question 468043: Write an equation, in slope-intercept form if possible, of the line through the pair of points.
[-1/3, 2/3] and [1/3, 7/3]
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

[-1/3, 2/3] and 

[1/3, 7/3] m = -5/3 / -2/3 = 5/2

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 = (5/2)x + b   |Using ordered pair (-1/3,2/3) to solve for b

2/3 = (5/2)*(-1/3) + b

4/6 + 5/6 = b

    9/6 = 3/2 = b

 y = (5/2)x + 3/2