SOLUTION: consider that l: 2x+y+4=0 a. find the gradient of l b.find the gradient of a line perpendicular to l c. find the equation of the line perpendicular to l passing through the po

Algebra ->  Trigonometry-basics -> SOLUTION: consider that l: 2x+y+4=0 a. find the gradient of l b.find the gradient of a line perpendicular to l c. find the equation of the line perpendicular to l passing through the po      Log On


   

Question 1088130: consider that l: 2x+y+4=0
a. find the gradient of l
b.find the gradient of a line perpendicular to l
c. find the equation of the line perpendicular to l passing through the points 5,3 give your answer in the form ax+by+c=0 where a, b, d, Z (integers)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to slope(gradient)-intercept form,
y=-2x-4
m=-2
.
.
.
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
m%5B2%5D=-1%2F%28-2%29
m%5B2%5D=1%2F2
.
.
.
Use the point-slope(gradient) form of line,
y-3=%281%2F2%29%28x-5%29
2y-6=x-5
x-2y%2B1=0