SOLUTION: Find the equation of the line perpendicular to −2x + 9y = −5 passing through the point (−6, 11). (Put the answer in y = mx + b form.)

Algebra.Com
Question 1057306: Find the equation of the line perpendicular to
−2x + 9y = −5
passing through the point
(−6, 11).
(Put the answer in
y = mx + b
form.)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the equation of the line perpendicular to
−2x + 9y = −5 passing through the point (−6, 11).
(Put the answer in y = mx + b form.)
------
Rearrange the given equation::
y = (2x-5)/9
slope = 2/9
------
Every line perpendicular to it has slope -9/2
----------------------
y = mx + b
Substitute for x,y, and m ; solve for "b"::
11 = (-9/2)(-6) + b
11 = 27 + b
b = -16
----
Ans: y = (-9/2)x - 16
--------------------
Cheers,
Stan H.
----------

RELATED QUESTIONS

Find an equation of the line that passes through the point (5, 4) and is perpendicular to (answered by scott8148)
Find the equation of a line perpendicular to y = −(1/2)x + 132 and passing through... (answered by Fombitz,lwsshak3)
Find an equation of the line that passes through the point (3, 5) and is perpendicular to (answered by stanbon)
Find the slope-intercept form of the line passing through the point (5, 2) and parallel... (answered by Alan3354)
Identify the point-slope form of the equation of the line with slope 5 passing through... (answered by ewatrrr)
Find an equation of the line that passes through the given point and is perpendicular to... (answered by MathLover1,lwsshak3)
Find an equation in standard form for the line through (4, 1) and perpendicular to 3x + y (answered by Fombitz)
Find the equation for the line that passes through the point (−5, 5), and that is... (answered by Cromlix)
Find an equation of the line that passes through the point (4, 5) and is perpendicular to (answered by josgarithmetic)