SOLUTION: write an equation of the line containing the given point and perpendicular to the given line. Type your answer in the form y=mx+b simplify your answer. (9,-9);5x+2y=3 I do not un

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line containing the given point and perpendicular to the given line. Type your answer in the form y=mx+b simplify your answer. (9,-9);5x+2y=3 I do not un      Log On


   

Question 256708: write an equation of the line containing the given point and perpendicular to the given line. Type your answer in the form y=mx+b simplify your answer.
(9,-9);5x+2y=3 I do not understand how to do any of these problems, please help before I fail.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
solving for y will put the given equation into slope-intercept form (y = mx + b)

subtracting 5x ___ 2y = -5x + 3

dividing by 2 ___ y = -5/2 x + 3/2

perpendicular lines have slopes that are negative reciprocals of each other

so the slope of the new line is 2/5 (negative reciprocal of -5/2)

substitute the given coordinates to find the y-intercept (b term)

-9 = 2/5 (9) + b ___ -9 = 18/5 + b ___ -63/5 = b

the new equation is ___ y = 2/5 x - 63/5