SOLUTION: Find the equation of the line in slope-intercept form given the following information: the king (5,-1) is on the parallel line and is parallel to -5x+2y=9.

Algebra ->  Rational-functions -> SOLUTION: Find the equation of the line in slope-intercept form given the following information: the king (5,-1) is on the parallel line and is parallel to -5x+2y=9.      Log On


   

Question 1046796: Find the equation of the line in slope-intercept form given the following information: the king (5,-1) is on the parallel line and is parallel to -5x+2y=9.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is y+=+highlight_green%28m%29x+%2B+highlight%28b%29
where m is the slope and b the y-intercept.
-5x+2y=9
y = (5/2)x + 9/2 Green
m = (5/2) Parallel Lines have equal slopes
P(5,-1) on the other Line
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
y+1 = (5/2)(x - 5)
y = (5/2)x - 1 - 25/2
y = (5/2)x -27/2 Blue