Question

Look at the following graph:

The equation for the given graph is .

• A. $y=1.2x$
• B. $y=1.3x$
• C. $y=1.6x$
• D. $y=1.5x$

Answer 1

The correct option is D $y=1.5x$

The given line passes through (0,0) and (8,12).

We know, equation of a straight line passing through origin is,
$y=mx$

Here, $m$ represents slope.

We know,
Slope of a line $=\frac{Rise}{Run}=\frac{y}{x}$


Putting values from the graph, we get,
$\text{Slope}=\frac{\text{Change in y-axis}}{\text{Change in x-axis}}$
$=\frac{\Delta y}{\Delta x}$
$=\frac{(12-0)}{(8-0)}$
$=\frac{12}{8}$
$=1.5$

So, the equation of the line for the given graph is $y=1.5x$.