Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter ISG, Problem 4.1STP
To determine

To calculate the equation of line.

Expert Solution & Answer
Check Mark

Answer to Problem 4.1STP

The equation of line in slope y-intercept form is, y=12x+3

The equation on line in point slope form is y+1=12(x8)

Explanation of Solution

Given information:

The line1 passes through (8, -1)

The line2 is perpendicular to, y=2x9

Formula used:Product of slopes of 2 perpendicular lines is -1

Equation of line is,

  y=mx+c

Equation of line in point slope form,

  (yy1)=m(xx1)

Calculation:

Comparing the given equation of line2 to the equation of line,

Slope of the line is 2

Since, product of slopes of two perpendicular line is -1, therefore, slope of line1 is,

  2×m=1

On solving,

  m=12

Hence, slope of line1 is 12

Substituting the values of line1 in the equation of line,

  y(1)=12(x8)

On solving,

  y+1=12(x8)

Hence, the equation on line in point slope form is y+1=12(x8)

On solving the point slope equation,

  y+1=(12x)(12×8)

So,

  y+1=12x+4

Shifting left- hand side variables to right-hand side,

  y=12x+41

On solving,

  y=12x+3

Hence, the equation of line in slope y-intercept form is, y=12x+3

Chapter ISG Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. ISG - Prob. 1.2.4PCh. ISG - Prob. 1.2.5PCh. ISG - Prob. 1.2.6PCh. ISG - Prob. 1.2.8PCh. ISG - Prob. 1.2.9PCh. ISG - Prob. 1.2.10PCh. ISG - Prob. 1.2.11PCh. ISG - Prob. 1.2.12PCh. ISG - Prob. 1.2.13PCh. ISG - Prob. 1.2.14PCh. ISG - Prob. 1.2.15PCh. ISG - Prob. 1.3.1PCh. ISG - Prob. 1.3.2PCh. ISG - Prob. 1.3.3PCh. ISG - Prob. 1.3.4PCh. ISG - Prob. 1.3.5PCh. ISG - Prob. 1.3.6PCh. ISG - Prob. 1.3.7PCh. ISG - Prob. 1.3.8PCh. ISG - Prob. 1.3.9PCh. ISG - Prob. 1.3.10PCh. ISG - Prob. 1.3.11PCh. ISG - Prob. 1.3.12PCh. ISG - Prob. 1.3.13PCh. ISG - Prob. 1.5.1PCh. ISG - Prob. 1.5.2PCh. ISG - Prob. 1.5.3PCh. ISG - Prob. 1.5.4PCh. ISG - Prob. 1.5.5PCh. ISG - Prob. 1.6.1PCh. ISG - Prob. 1.6.2PCh. ISG - Prob. 1.6.3PCh. ISG - Prob. 1.6.4PCh. ISG - Prob. 1.6.5PCh. ISG - Prob. 1.6.6PCh. ISG - Prob. 1.6.7PCh. ISG - Prob. 1.6.8PCh. ISG - Prob. 1.7.1.1PCh. ISG - Prob. 1.7.1.2PCh. ISG - Prob. 1.7.1.3PCh. ISG - Prob. 1.7.1.4PCh. ISG - Prob. 1.7.1.5PCh. ISG - Prob. 1.7.1.6PCh. ISG - Prob. 1.7.2.1PCh. 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ISG - Prob. 8.6.1.3PCh. ISG - Prob. 8.6.1.4PCh. ISG - Prob. 8.6.1.5PCh. ISG - Prob. 8.6.1.6PCh. ISG - Prob. 8.6.1.7PCh. ISG - Prob. 8.6.2.1PCh. ISG - Prob. 8.6.2.2PCh. ISG - Prob. 8.6.2.3PCh. ISG - Prob. 8.6.2.4PCh. ISG - Prob. 8.6.2.5PCh. ISG - Prob. 8.6.2.6PCh. ISG - Prob. 8.7.1.1PCh. ISG - Prob. 8.7.1.2PCh. ISG - Prob. 8.7.1.3PCh. ISG - Prob. 8.7.1.4PCh. ISG - Prob. 8.7.2.1PCh. ISG - Prob. 8.7.2.2PCh. ISG - Prob. 8.7.2.3PCh. ISG - Prob. 8.7.2.4PCh. ISG - Prob. 8.1STPCh. ISG - Prob. 8.2STPCh. ISG - Prob. 8.3STPCh. ISG - Prob. 8.4STPCh. ISG - Prob. 8.5STPCh. ISG - Prob. 8.6STPCh. ISG - Prob. 8.7STPCh. ISG - Prob. 8.8STPCh. ISG - Prob. 8.9STPCh. ISG - Prob. 9.1.1PCh. ISG - Prob. 9.1.2PCh. ISG - Prob. 9.1.3PCh. ISG - Prob. 9.1.4PCh. ISG - Prob. 9.1.5PCh. ISG - Prob. 9.1.6PCh. ISG - Prob. 9.1.7PCh. ISG - Prob. 9.1.8PCh. ISG - Prob. 9.1.9PCh. ISG - Prob. 9.1.10PCh. ISG - Prob. 9.2.1PCh. ISG - Prob. 9.2.2PCh. ISG - Prob. 9.2.3PCh. ISG - Prob. 9.2.4PCh. ISG - Prob. 9.2.5PCh. ISG - Prob. 9.2.6PCh. ISG - Prob. 9.2.7PCh. ISG - Prob. 9.2.8PCh. ISG - Prob. 9.2.9PCh. ISG - Prob. 9.2.10PCh. ISG - Prob. 9.2.11PCh. ISG - Prob. 9.2.12PCh. ISG - Prob. 9.2.13PCh. ISG - Prob. 9.3.1PCh. ISG - Prob. 9.3.2PCh. ISG - Prob. 9.3.3PCh. ISG - Prob. 9.3.4PCh. ISG - Prob. 9.5.1PCh. ISG - Prob. 9.5.2PCh. ISG - Prob. 9.5.3PCh. ISG - Prob. 9.5.4PCh. ISG - Prob. 9.5.5PCh. ISG - Prob. 9.6.1PCh. ISG - Prob. 9.6.2PCh. ISG - Prob. 9.6.3PCh. ISG - Prob. 9.6.4PCh. ISG - Prob. 9.6.5PCh. ISG - Prob. 9.6.6PCh. ISG - Prob. 9.6.7PCh. ISG - Prob. 9.7.1PCh. ISG - Prob. 9.7.2PCh. ISG - Prob. 9.7.3PCh. ISG - Prob. 9.7.4PCh. ISG - Prob. 9.7.5PCh. ISG - Prob. 9.7.6PCh. ISG - Prob. 9.7.7PCh. ISG - Prob. 9.7.8PCh. ISG - Prob. 9.7.9PCh. ISG - Prob. 9.7.10PCh. ISG - Prob. 9.7.11PCh. ISG - Prob. 9.7.12PCh. ISG - Prob. 9.7.13PCh. ISG - Prob. 9.7.14PCh. ISG - Prob. 9.7.15PCh. ISG - Prob. 9.7.16PCh. ISG - Prob. 9.8.1.1PCh. ISG - Prob. 9.8.1.2PCh. ISG - Prob. 9.8.1.3PCh. ISG - Prob. 9.8.1.4PCh. ISG - Prob. 9.8.1.5PCh. ISG - Prob. 9.8.1.6PCh. ISG - Prob. 9.8.2.1PCh. ISG - Prob. 9.8.2.2PCh. ISG - Prob. 9.8.2.3PCh. ISG - Prob. 9.8.2.4PCh. ISG - Prob. 9.9.1.1PCh. ISG - Prob. 9.9.1.2PCh. ISG - Prob. 9.9.1.3PCh. ISG - Prob. 9.9.1.4PCh. ISG - Prob. 9.9.1.5PCh. ISG - Prob. 9.9.1.6PCh. ISG - Prob. 9.9.1.7PCh. ISG - Prob. 9.9.1.8PCh. ISG - Prob. 9.9.1.9PCh. ISG - Prob. 9.9.2.1PCh. ISG - Prob. 9.9.2.2PCh. ISG - Prob. 9.9.2.3PCh. ISG - Prob. 9.9.2.4PCh. ISG - Prob. 9.1STPCh. ISG - Prob. 9.2STPCh. ISG - Prob. 9.3STPCh. ISG - Prob. 9.4STPCh. ISG - Prob. 9.5STPCh. ISG - Prob. 9.6STPCh. ISG - Prob. 9.7STPCh. ISG - Prob. 9.8STPCh. ISG - Prob. 9.9STPCh. ISG - Prob. 9.10STPCh. ISG - Prob. 9.11STPCh. ISG - Prob. 10.1.1PCh. ISG - Prob. 10.1.2PCh. ISG - Prob. 10.1.3PCh. ISG - Prob. 10.1.4PCh. ISG - Prob. 10.1.5PCh. ISG - Prob. 10.4.1PCh. ISG - Prob. 10.4.2PCh. ISG - Prob. 10.4.3PCh. ISG - Prob. 10.5.1PCh. ISG - Prob. 10.5.2PCh. ISG - Prob. 10.5.3PCh. ISG - Prob. 10.6.1PCh. ISG - Prob. 10.6.2PCh. ISG - Prob. 10.6.3PCh. ISG - Prob. 10.1STPCh. ISG - Prob. 10.2STPCh. ISG - Prob. 10.3STPCh. ISG - Prob. 10.4STPCh. ISG - Prob. 10.5STPCh. ISG - Prob. 10.6STPCh. ISG - Prob. 10.7STPCh. ISG - Prob. 10.8STP
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