Question

The graph below shows the relationship between the number of people and profits earned (in ₹).


The equation of the above graph is .

• A. $y=3-2x$
• B. $y=2+3x$
• C. $y=3+2x$
• D. $y=2-3x$

Answer 1

The correct option is C $y=3+2x$

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


From the graph, the red line cuts the y-axis at the point (0,3).
∴ y-intercept = (0,3)
⇒ $b$ = 3

Let us consider any two points (1,5) and (2,7) on the line.

We know,
$\text{Slope (m)}=\frac{\text{Change in y-axis}}{\text{Change in x-axis}}=\frac{y_2-y_1}{x_2-x_1}$

∴ Slope of the line (m) $=\frac{y_2-y_1}{x_2-x_1}$ $=\frac{7-5}{2-1}$
$=2$

Putting the values of $m$ and $b$ in the point-slope equation form, we get,

Equation of the graph is $y=2x+3$.