Problem help!!!!

Question

Determine whether the lines are parallel, perpendicular, or neither.

 

Given the lines have these equations:

Line a: 3x – 2y = –4

 

Line b: y = 3/2 x – 5

Line a slope:

Line b slope:

Lines are parallel, perpendicular, or neither:

Answer 1

Line a: 3x – 2y = –4

 

Line b: y = 3/2 x – 5

The slope of line b is 3/2 or 1.5

Solving the Line A equation for y gives us:

-2y=-3x-4

2y=3x+4

y=3x/2+2

The slope of line a is 3/2, just like with line b. So either they are the same line, or they are parallel.

The two lines are not the same line, because when you plug in 1 for x you get y=-3.5 for line b and y=3.5 for line a. They are thus not the same line, but they have the same slope, so they must be parallel.

Answer 2

Hi Armani P

Line b is already in Slope Intercept Form

Put Line a in Slope Intercept Form and refer to the instructions given in your previous question.

Give it a try