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

### Single Variable Calculus: Concepts...

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

### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter B, Problem 25E
To determine

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

Expert Solution

Slope of line is 13 and y-intercept of line is 0

### Explanation of Solution

Given information: Equation is x+3y=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:

x+3y=0

Rewriting the equation as follows:

3y=xy=13x+0

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

m=13c=0

Finding the points that lie on equation:

When x=0

y=13(0)y=0

When x=3

y=13(3)y=1

When x=6

y=13(6)y=2

Thus, (0,0),(3,1),(6,2) are the solution of equation and must lie on the equation.

Plotting the points on graph,

y-axis

x-axis

Conclusion:

Hence, slope of line is 13 and y-intercept of line is 0

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