Answered

IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

determine whether each pair of lines is perpendicular parallel or neither

Determine Whether Each Pair Of Lines Is Perpendicular Parallel Or Neither class=

Sagot :

Parallel lines mean that the slopes are the same, while perpendicular means that the slopes are negative reciprocals from each other.

With this information,
1. The slopes are the same, so PARALLEL.
2. The slopes are negative reciprocals, so PERPENDICULAR.
3. Same as the second.

Answer:

1st set of equations - parallel

2nd set - perpendicular

3rd set - neither

Step-by-step explanation:

First set:

simplify the equation for line 1  by dividing by -4: y = 0.5x + 1

simplify the equation for line 1  by dividing by -6: y = 0.5x - 1.5

Both have the same slope: 0.5 so the lines are parallel.

Second set:

simplify the equation for line 1  by dividing by 3: y = -2/3x + 4

simplify the equation for line 1  by dividing by -4: y = 3/2x - 7/4

-2/3 * 3/2 = -1, so the lines are perpendicular

Third set

simplify the equation for line 1  by dividing by 1/2: y = -2x+4

simplify the equation for line 1  by dividing by 2: y = -1/4x +2

-2x+4=-0.25x+2

-2x+0.25x=2-4

-1.75x=-2

x=1.14

y=-2(1.14)+4 = 1.7143. So there is an intersection point

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.