Chapter 1: Q. 104 (page 42)

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = \frac{1}{2} x - 3$ , $y = - 2 x + 4$

Short Answer

Expert verified

The given lines are perpendicular.

Step by step solution

Step 1. Given information

Equations of two lines: $y = \frac{1}{2} x - 3$ , $y = - 2 x + 4$

Step 2. Determining if the lines are parallel, perpendicular, or neither.

For the lines to be parallel, slopes should be equal and for the lines to be perpendicular, product of slopes is $- 1$ .

Slope-intercept form of the line is $y = m x + b$

For the given lines, product of slopes is $- 1$ , $m_{1} \times m_{2} = \frac{1}{2} \times - 2 = - 1$ .

Therefore, the given lines are perpendicular.

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The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = \frac{1}{2} x - 3$ , $y = - 2 x + 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determining if the lines are parallel, perpendicular, or neither.

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Step by step solution

Step 1. Given information

Step 2. Determining if the lines are parallel, perpendicular, or neither.

One App. One Place for Learning.

Most popular questions from this chapter

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The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither. $y = \frac{1}{2} x - 3$ , $y = - 2 x + 4$