SOLUTION: Could someone please show me step by step how to find an equation of the line containing the given pair points (1/4,-1/2) and (3/4,2) What is the equation of the line x=___ ?

Hi

Using the point-slope formula, 

(3/4,  2)

(1/4,-1/2) = 10/2 = 5

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 = 5x + b

 2 = (5)*2/3 + b

 -4/3 = b

   y = 5x -4/3