. Are the graphs of 2y = -3x + 6 and y = 2/3 x + 2, parallel, Perpendicular, or neither? How do you know?

Question

.  Are the graphs of 2y = -3x + 6 and y = 2/3 x + 2, parallel, Perpendicular, or neither?  How do you know?

mathstudent55 · Answer

Since the second equation is already in y = mx + b form, solve the first equation for y to get it in the same form

anonymous · Answer

?

anonymous · Answer

I dont know :/

mathstudent55 · Answer

2y = -3x + 6
Divide both sides by 2:
y = (-3/2)x + 3
What multiplies x on the right side is the slope. If the two numbers multiplying x are equal and the other numbers (b) different, the lines are parallel.
Here you have 2/3 and -3/2. They're not equal.
If the two values of m are negative reciprocals, then the lines are perpendicular.
Negative reciprocals are numbers that when multiplied together the product is -1.