Chapter 3: Q. 452R (page 356)

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.
$3 x - 2 y = 5; 2 x + 3 y = 6$

Short Answer

Expert verified

Lines are perpendicular

Step by step solution

Given Information

Lines are $3 x - 2 y = 5; 2 x + 3 y = 6$

Solution

We have

$3 x - 2 y = 5; 2 x + 3 y = 6$

Two equations can be rewritten as

role="math" localid="1645023713797" $y = \frac{3}{2} x - \frac{5}{2}; y = \frac{- 2}{3} x + 2$

Here product of slopes is $\frac{3}{2} \times \frac{- 2}{3} = - 1$

Hence lines are perpendicular

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In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.
$3 x - 2 y = 5; 2 x + 3 y = 6$

Short Answer

Step by step solution

Given Information

Solution

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In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.3x-2y=5;2x+3y=6

Short Answer

Step by step solution

Given Information

Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.
$3 x - 2 y = 5; 2 x + 3 y = 6$