Teri F.

asked • 01/17/13

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither

y = –2/3x + 1

2x – 3y = –3

Herb K.

tutor

the first equation is in slope-intercept form, y = mx + b, where slope = m = -2/3; in the second equation, solve for y to put that equation in slope-intercept form also:  -3y = -2x - 3; y = (2/3)x + 1; so that the slope for the second line is m = 2/3, which is neither the same slope as for the first equation, nor the negative reciprocal, -3/2, of the slope of the first equation; so that the two lines are neither parallel (equal slopes) nor perpendicular (slopes of two lines are negative reciprocals of one another)

Report

01/17/13

Steve S.

See http://www.wyzant.com/resources/files/264519/perpendicular_lines_slope_relationship_proof
Report

03/09/14

2 Answers By Expert Tutors

By:

Kevin S. answered • 01/17/13

Erik M. answered • 01/17/13

Cabell-Huntington Math Tutor

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