Question

Select the correct option for the following graph:

• A. The line is flatter than the line with slope 2.8.
• B. The line is flatter than the line with slope 3.4.
• C. The line is steeper than the line with slope 3.4.
• D. The line is steeper than the line with slope 4.8.

Answer 1

The correct option is C The line is steeper than the line with slope 3.4.


Consider two points (0,0) and (5,21) from the given graph.

We know,
Slope (m) $=\frac{Rise}{Run}=\frac{Changeiny}{Changeinx}$

So, by putting the values, we get,
$\text{Slope}=\frac{\Delta y}{\Delta x}$
$=\frac{(21-0)}{(5-0)}$
$=\frac{21}{5}$
$=4.2$

∴ The slope of the line is 4.2.

The more the slope, the steeper is the line.

We know, 4.2 > 3.4

So, the given line is steeper than the straight line with slope 3.4.