Chapter 5.2, Problem 27P

Tell whether the two quantities vary directly. Explain your reasoning.

Writing In a direct variation equation, describe how the slope of the graph of the line is related to the constant of variation.

To determine

To Describe: In direct variation equation, describe how slope of the graph of a line related to the constant of variation.

Answer to Problem 27P

The slope of the line for direct variation equation is same as constant of variation.

Explanation of Solution

Given information: In direct variation equation, the slope of the graph of the line is related to the constant of variation.

The linear equations with y-intercept as 0 are $y=mx$ .

The direct variation equation when y varies directly with x is $y=kx$ .

If we compare the equations the slope m is same as constant of variation k .

That’s $m=k$