5x + 3y = 9. 3x - 5y = 2. the lines are?

Question

are the lines perpendicular, parallel or neither?

Answer 1

first thing you have to do is get the lines in y=mx + b form. to do this simply solve for y.

5x + 3y =9 (subtract 5x on both sides)

3y = 9 - 5x  finally divide each side by 3

y= (9-5x)/3

 

3x - 5y =2 (subtract 3x on both sides)

-5y = 2 - 3x (finally divide each side by -5)

y = (2-3x)/-5

these lines are prependicular, they cross at (1.5,.5)