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 

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