Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 2.6, Problem 50STP
To determine

Write equation in slope-intercept form for the line described.

Expert Solution & Answer
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Answer to Problem 50STP

  y=12x

Explanation of Solution

Given information:

Write equation in slope-intercept form for the line described.

Passes through (3,6) , perpendicular to y=2x+1

Calculation:

Point- slope form:

The point −slope form of the equation of a line is yy1=m(xx1) , where (x1,y1) are the coordinates of a point on the line and m is the slope of line.

Perpendicular lines:

Two nonvertical lines are perpendicular if and only if the product of the slope is 1 . Vertical lines and horizontal lines are perpendicular.

Consider the following set of condition;

Pass through (3,6) , perpendicular to y=2x+1

Here, the slope of the line is m=2 . Because the slope of perpendicular lines is opposite reciprocals, the slope of the line perpendicular to the given line is m=12

Now, use the point-slope form and ordered pair (3,6) .

  yy1=m(xx1)

  y(3)=12(x(6))

  y+3=12(x+6)

Apply distributive property and simplify;

  y+3=12x+12×6

  y+3=12x+3

Subtract both sides by 3 and simplify;

  y=12x+33

  y=12x

Hence, the equation of line is y=12x

Chapter 2 Solutions

Algebra 2

Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41HPCh. 2.1 - Prob. 42HPCh. 2.1 - Prob. 43HPCh. 2.1 - Prob. 44HPCh. 2.1 - Prob. 45STPCh. 2.1 - Prob. 46STPCh. 2.1 - Prob. 47STPCh. 2.1 - Prob. 48STPCh. 2.1 - Prob. 49STPCh. 2.1 - Prob. 50STPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - 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