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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 450R (page 356)

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.
$4 x - 3 y = - 1; y = \frac{4}{3} x - 3$

Short Answer

Expert verified

Lines are parallel

Step by step solution

01

Given Information

Lines are $4 x - 3 y = - 1; y = \frac{4}{3} x - 3$

02

Solution

We have

$4 x - 3 y = - 1; y = \frac{4}{3} x - 3$

This equation can be rewritten as

role="math" localid="1645023257948" $y = \frac{4}{3} x + \frac{1}{3}; y = \frac{4}{3} x - 3$

Here the slopes are same

Hence lines are parallel

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Most popular questions from this chapter

In the following exercise, determine the most convenient method to graph each line

$x - y = 5$

Graph the equations $y = - \frac{1}{3} x, y = - \frac{1}{3}$ in the same cartesian plane.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Find the intercepts of the equation $3 x - 2 y = 12$ .

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
$(- 2, 1), (- 3, - 1), (4, - 4), (- 4, 4), (- 4, \frac{3}{2})$

See all solutions

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