SOLUTION: Write an equation of a line that contains the given point and is perpendicular to the given line. 2x+4y=-7; points(-3, -2)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Write an equation of a line that contains the given point and is perpendicular to the given line. 2x+4y=-7; points(-3, -2)      Log On


   

Question 119072: Write an equation of a line that contains the given point and is perpendicular to the given line.
2x+4y=-7; points(-3, -2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The given line
2x%2B4y=-7
can be modified to the slope-intercept form.
4y=-2x-7
y=-2x%2F4-7%2F4
y=-x%2F2-7%2F4
The given line has a slope,
m=-1%2F2
Perpendicular lines have slopes that are negative reciprocals of each other.
m%5B1%5Dm%5B2%5D=-1
The slope of the new line is then
%28-1%2F2%29m%5B2%5D=-1
m%5B2%5D=2
You can then use the point-slope form of a line.
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-%28-2%29=2%28x-%28-3%29%29
y%2B2=2%28x%2B3%29
y%2B2=2x%2B6
highlight%28y=2x%2B4%29
Check your answer using your point.
y=2x%2B4
-2=2%28-3%29%2B4
-2=-6%2B4
-2=-2
True statement.
Good answer.