Question

The graph shows the number of hotdogs sold in a particualr time. Choose the correct option for the equation represented in the graph given below.

• A. $y=4-2x$
• B. $y=-4+2x$
• C. $y=-4-2x$
• D. $y=4+2x$

Answer 1

The correct option is D $y=4+2x$


Equation of the graph with value of y-intercept $b$ is $y=mx+b$.

From the graph,
y-intercept = (0, 4)
$\Rightarrow b=4$

Le us consider any two points on the line, say (0,4) and (1,6).

Putting the values in the slope formula, we get,
$\text{Slope (}m\text{)}=\frac{\text{Change in y-axis}}{\text{Change in x-axis}}$
$=\frac{y_2-y_1}{x_2-x_1}$
$=\frac{6-4}{1}$
$=2$

So, the equation of the graph is $y=2x+4$.