The answer is either parallel, perpendicular, or neither.

Question

Is 4x+6y=-8 parallel, perpendicular, or neither?

Is 3y=2x+5 parallel, perpendicular, or neither?

Is y=3/2x-3 parallel, perpendicular, or neither?

 

Thanks for the help!

Answer 1

Parallel lines have the same slope.

 

Perpendicular lines have slopes that are NEGATIVE reciprocals.

That means you flip it over AND change the sign.

Example 4/5 vs. -5/4

          3 and -1/3

 

 

You need to write them in slope intercept form to get the slope : y = Mx +b

where M is the slope.

 

first line:

4x + 6y = -8

2x + 3y = -4 <--- divides everything by 2

 

3y = -4 - 2x

 

y = -4/3 - 2/3x

y = -2/3x + -4/3

the slope of the first line is -2/3

 

 

second line:

 3y = 2x + 5

 y = 2/3x + 5/2 <--- divides everything by 3

 The slope of the second line is 2/3

 

third line:

  the slope of the third line is 3/2

 

Line 1 and Line 3 are perpendicular

 

Line 1 and Line 2 are neither parallel

nor perpendicular. They will meet

at one point

 

LIne 2 and Line3 are neither parallel

nor perpendicular . They will meet

at one point.