SOLUTION: The standard form of a line is 4x+5y=51. Another line passes through points (5,8) and (1,3). Prove whether the second line is parallel or perpendicular to the first line.

Algebra ->  Equations -> SOLUTION: The standard form of a line is 4x+5y=51. Another line passes through points (5,8) and (1,3). Prove whether the second line is parallel or perpendicular to the first line.      Log On


   

Question 394430: The standard form of a line is 4x+5y=51. Another line passes through points (5,8) and (1,3). Prove whether the second line is parallel or perpendicular to the first line.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the first line is -4/5, if you write the equation in slope-intercept form. The slope of the second line is %288-3%29%2F%285-1%29+=+5%2F4 which is the negative of the reciprocal of the first line's slope. Hence they are perpendicular.