SOLUTION: Can you find the equations of the lines which pass through the point (0, 4) and are parallel to and perpendicular to the line {{{ 5x + 2y = 3 }}} ? Thanks.

Algebra ->  Equations -> SOLUTION: Can you find the equations of the lines which pass through the point (0, 4) and are parallel to and perpendicular to the line {{{ 5x + 2y = 3 }}} ? Thanks.       Log On


   

Question 1053260: Can you find the equations of the lines which pass through the point (0, 4) and are parallel to and perpendicular to the line +5x+%2B+2y+=+3+ ?
Thanks.
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+%2B+2y+=+3+
y = -(5/2)x + 3/2 m = (-5/2)
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
P(0, 4)
Line parallel: y = (-5/2)x + 4 Green Line
Line perpendicular: y = (2/5)x +4 Blue Line