Question

Which one of the following conclusions can be made for the given lines?

• A. $\text{slope of line}A\text{= slope of line}B$
• B. $\text{slope of line}A\text{> slope of line}B$
• C. $\text{slope of line}B\text{> slope of line}A$
• D. none of the above

Answer 1

The correct option is C $\text{slope of line}B\text{> slope of line}A$

The slope of a line gives the measure of its steepness. Steepness of a line is the line closer to the vertical-axis (y-axis).

Let’s look at lines $A$ and $B.$ If we imagine these lines as hills, line $B$ is steeper than line A.

Concept: The greater the slope, the steeper the line.
$\therefore$ Line $B$ has a greater slope than line $A.$

Hence, option (c.) is the correct choice.