SOLUTION: Determine the equation of the line in each of the following cases a. Passing through the point(4,9)and perpendicular to the line 4x+7y=12 b. Passing through the point(7,3)and

Algebra ->  Linear-equations -> SOLUTION: Determine the equation of the line in each of the following cases a. Passing through the point(4,9)and perpendicular to the line 4x+7y=12 b. Passing through the point(7,3)and      Log On


   



Question 446238: Determine the equation of the line in each of the following cases
a. Passing through the point(4,9)and perpendicular to the line 4x+7y=12
b. Passing through the point(7,3)and perpendicular to the line 7x+5y=16

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,


a. Passing through the point(4,9)and perpendicular to the line 4x+7y=12
perpendicular to the line with the equation
4x + 7y = 12 OR y = (-4/7)x + 12/7 m = (-4/7)
Perpendicular lines have slopes that are negative reciprocals on one another
New Line
y = (7/4)x + b |Using ordered pair (4,9) to solve for b
9 = (7/4)*4 + b
2 = b
y = (7/4)x + 2 OR 7x + 4y = 8
b. Passing through the point(7,3)and perpendicular to the line 7x+5y=16
Done in a similar fashion as done above