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.Com
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)   (Show Source): You can put this solution on YOUR website!
The given line

can be modified to the slope-intercept form.



The given line has a slope,

Perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the new line is then


You can then use the point-slope form of a line.





Check your answer using your point.




True statement.
Good answer.

RELATED QUESTIONS

write an equation of a line that contains the given point and is perpendicular to the... (answered by jim_thompson5910)
write an equation of a line that contains the given point and is perpendicular to the... (answered by chitra)
Write an equation of a line that contains the given the given point and is parallel to... (answered by venugopalramana)
Write an equation of a line that contains the given the given point and is parallel to... (answered by venugopalramana)
(8,-5);-5x-4y=3 Write an equation of a line that contains the given point and is... (answered by Cintchr)
2x+4y=-10;(4,2) write equation of a line that is perpendicular to the given line and... (answered by mananth)
2x+4y=-10;(4,2) write equation of a line that is perpendicular to the given line and... (answered by robertb)
A line contains the points (–2, –6) and (4, 1). Using point-slope form, write the... (answered by josgarithmetic)
A line contains the point ( - 6, 7) and has a slope of . Write an equation of the line... (answered by ikleyn)