Chapter 8.6, Problem 23HP

To determine

To explain: whether the given statement is true or false

Answer to Problem 23HP

The given statement is true.

Explanation of Solution

Given:

As the constant of variation increases in a direct variation, the slope of the graph becomes steeper.

Calculation:

Consider the constant of variation increases in a direct variation, the slope of the graphbecomes steeper

Consider the slope intercept form of equation $y=mx+c$ where ‘m’ is slope

Now, the constant variation for any point of line is found by dividing the y coordinate by x coordinate of the point.

So, the constant of variation is same as slope

And, as greater the slope more steeper the line

Conclusion:

Therefore, as the constant of variation increases in a direct variation, the slope of the graph becomes steeper.