SOLUTION: Write the equations of the lines that pass through the point and are (a) parallel and (b) perpendicular to the given line. (-5, -10) 2x + 5y � 12= 0

Question 465141: Write the equations of the lines that pass through the point and are (a) parallel and (b) perpendicular to the given line. (-5, -10) 2x + 5y � 12= 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the equations of the lines that pass through the point and are (a) parallel and (b) perpendicular to the given line. (-5, -10) 2x + 5y � 12= 0
...
2x + 5y � 12= 0
change to standard form of a straight line, y=mx+b, m=slope, b=y-intercept
5y=-2x+12
y=-2x/5+12/5
m=-2/5
..
Equation of parallel line (same slope)
y=-2x/5+b
Using (x,y) coordinates of given point (-5,-10) to find b
-10=-2(-5)/5+b
-10=2+b
b=-12
Equation of parallel line: y=-2x/5-12
..
Equation of perpendicular line (slope=negative reciprocal=5/2)
y=5x/2+b
Using (x,y) coordinates of given point (-5,-10) to find b
-10=5(-5)/2+b
-10=-25/2+b
b=5/2
Equation of perpendicular line: y=5x/2+5/2
see graph below as a visual check on the answers
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