SOLUTION: Find an equation in slope-intercept form of the line satisfying the specified conditions. Through (-6,-9) perpendicular to -7x-5y=-3 This Problem Really Confuses Me Help Please

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Question 769931: Find an equation in slope-intercept form of the line satisfying the specified conditions. Through (-6,-9) perpendicular to -7x-5y=-3 This Problem Really Confuses Me Help Please
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
First, put the equation in slope-intercept form:
-7x - 5y = -3
y = -7/5x + 3/5
Perpendicular lines have negative reciprocal slope.
Therefore, the line has the form y = 5/7x + b
Use the point (-6,-9) to solve for b
-9 = (5/7)(-6) + b
b = -9 + 30/7
b = -33/7
So the equation of the line is y = 5/7x - 33/7