SOLUTION: Write the equation of a line that is perpendicular to y = 0.25x-7 and that passes through the point (-6,8).

Algebra ->  Length-and-distance -> SOLUTION: Write the equation of a line that is perpendicular to y = 0.25x-7 and that passes through the point (-6,8).      Log On


   

Question 1139693: Write the equation of a line that is perpendicular to y = 0.25x-7 and that passes through the point (-6,8).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of any line perpendicular to
the given line has slope =
+m+=+-1%2F.25+
+m+=+-4+
Use the general point-slope formula
( -6, 8 )
+%28+y+-+8+%29+%2F+%28+x+-%28-6%29+%29+=+-4+
+%28+y+-+8+%29+%2F+%28+x+%2B+6+%29+=+-4+
+y+-+8+=+-4%2A%28+x+%2B+6+%29+
+y+-+8+=+-4x+-+24+
+y+=+-4x+-+16+
-------------------------
check:
( -6, 8 )
+8+=+-4%2A%28-6%29+-+16+
+8+=+24+-+16+
+8+=+8+
OK