Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.4, Problem 43STP
To determine

To calculate: The slope-intercept form of the equation for the line the passes through the points (3,5) and (3,2) .

Expert Solution & Answer
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Answer to Problem 43STP

The slope-intercept form of the equation for the line that passes through (3,5) and (3,2) is y=12x+72 .

Explanation of Solution

Given information:

The line passes through the points (3,5) and (3,2) .

Formula used:

Slope of a line that passes through two points (a1,b1) and (a2,b2) is given by m=b2b1a2a1 , where m represents the slope of line.

Point-slope form of equation of a line is given by ya1=m(xb1) , where (a1,b1) are the coordinates of a point that lie on the line and m represents its slope.

Slope-intercept form of the equation for the line having m as its slope and c as y-intercept is given by y=mx+c .

Calculation:

Consider the provided information that line passes through the points (3,5) and (3,2) .

Recall that slope of a line that passes through two points (a1,b1) and (a2,b2) is given by m=b2b1a2a1 , where m represents the slope of line.

So, slope of the line will be calculated as,

  m=253(3)=36=12

Recall that point-slope form of equation of a line is given by ya1=m(xb1) , where (a1,b1) are the coordinates of a point that lie on the line and m represents its slope.

So, use the point (3,2) and the slope m=12 to frame the equation of the line and simplify it as,

  y2=12(x3)2(y2)=1(x3)2y4=x+32y=x+7

Since, slope-intercept form of equation for the line having m as its slope and c as y-intercept is given by y=mx+c , convert the equation 2y=x+7 into slope-intercept form by dividing both sides by 2 as,

  2y2=x+72y=12x+72

Thus, the slope-intercept form of the equation for the line that passes through (3,5) and (3,2) is y=12x+72 .

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - 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