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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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

01

Given Information

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

02

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 $\frac{3}{2} 脳 \frac{- 2}{3} = - 1$

Hence lines are perpendicular

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Most popular questions from this chapter

Graph: $f (x) = x^{2}$

Use the slope formula to find the slope of the line between each pair of points.

$(- 1, - 2), (2, 5)$ .

Find the equation of a line with slope $\frac{2}{5}$ and $y -$ intercept $(0, 4)$ .

Graph the equation $3 x - y = - 6$ using the intercepts.

Find the intercepts of the equation $3 x + y = 6$ .

See all solutions

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