SOLUTION: Find the equation of the line that contains the point (-4,1) which is: Parallel to Y=2x-5 Perpendicular to Y=2x-5

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that contains the point (-4,1) which is: Parallel to Y=2x-5 Perpendicular to Y=2x-5      Log On


   

Question 1146656: Find the equation of the line that contains the point (-4,1) which is:
Parallel to Y=2x-5 Perpendicular to Y=2x-5
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(-4,1)
parallel to +y+=+2x+-+5+
The slope of the line is +m=2+
+%28+y+-+1+%29+%2F+%28+x+-+%28+-4%29+%29+=+2+
+%28+y+-+1+%29+%2F+%28+x+%2B+4+%29+=+2+
+y+-+1+=+2%2A%28+x+%2B+4+%29+
+y+-+1+=+2x+%2B+8+
+y+=+2x+%2B+9+
-----------------------
check:
(-4,1)
+1+=+2%2A%28-4%29+%2B+9+
+1+=+-8+%2B+9+
OK
-----------------------
(-4,1)
perpendicular to +y+=+2x+-+5+
The slope of the line is +-1%2F2+
+%28+y+-+1+%29+%2F+%28+x+-+%28+-4%29+%29+=+-1%2F2+
+%28+y+-+1+%29+%2F+%28+x+%2B+4+%29+=+-1%2F2+
+y+-+1+=+%28-1%2F2%29%2A%28+x+%2B+4+%29+
+2y+-+2+=+-x+-+4+
+2y+=+-x+-+2+
+y+=+%28-1%2F2%29%2Ax+-+1+
-------------------------
check:
(-4,1)
+1+=+%28-1%2F2%29%2A%28-4%29+-+1+
+1+=+2+-+1+
OK