SOLUTION: Find an equation of the line satisfying the given conditions. Through (7,2); Perpendicular to 4x+9y=46

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Question 266980: Find an equation of the line satisfying the given conditions.
Through (7,2); Perpendicular to 4x+9y=46

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Find an equation of the line satisfying the given conditions.
Through (7,2); Perpendicular to 4x + 9y = 46
:
Put the equation in the slope intercept form to find the slope (y = mx + b)
4x + 9y = 46
9y = -4x + 46
Divide by 9
y = x +
Slope (m1) =
:
Slope relationship of perpendicular lines: m1*m2 = -1
find m2
*m2 = -1
m2 = -1 *
m2 = is the slope of the perpendicular line
:
Use the point/slope equation y - y1 = m(x - x1); x1=7, y1=2
y - 2 = (x - 7)
:
y - 2 = x - (7)
:
y - 2 = x -
:
y = x - + 2
:
y = x - +
:
y = x - , the equation of the perpendicular line

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