SOLUTION: A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5

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Question 1148046: A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5,b), what are the integer values of a and b?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799)   (Show Source): You can put this solution on YOUR website!
points (3,6) and (4,b)
Slope is .

points (a,0) and (-5,b)
Slope is

The first described line of your description has slope of , or .

Description gives equations, .
Simplify and solve the system.

Answer by MathTherapy(10810)   (Show Source): You can put this solution on YOUR website!

A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5,b), what are the integer values of a and b?
 

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