BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter B, Problem 26E
To determine

To calculate: To find the slope and y-intercept of the line and then draw its graph

Expert Solution

Answer to Problem 26E

Slope of line is 23 and y-intercept of line is 2

Explanation of Solution

Given information: Equation is 2x3y+6=0

Formula Used:

Slope intercept form of line is

  y=mx+c

Where,

  m= Slope

  c= y-intercept

Calculation:

Equation of line is given as follows:

  2x3y+6=0

Rewriting the equation as follows:

  3y=2x+6y=23x+63y=23x+2

Comparing the above equation with slope-intercept form of line y=mx+c ,

  m=23c=2

Finding the points that lie on equation:

When x=0

  y=23(0)+2y=2

When x=3

  y=23(3)+2y=2+2y=4

When x=6

  y=23(6)+2y=4+2y=6

Thus, (0,2),(3,4),(6,6) are the solution of equation and must lie on the equation.

Plotting the points on graph,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter B, Problem 26E

Conclusion:

Hence, slope of line is 23 and y-intercept of line is 2

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