Question

Observe the graph given below and find the equation of the straight line.

• A. $y=2x$
• B. $y=2.5x$
• C. $y=3x$
• D. $y=4x$

Answer 1

The correct option is C $y=3x$


Observe the two points given on the graph (1,3) and (2,6)

You know,
$\text{slope = unit rate =}\frac{changeiny}{changeinx}=\frac{y_2-y_1}{x_2-x_1}$

∴ Putting the values we get,
$\text{Unit rate, m =}\frac{6-3}{2-1}$
$=\frac{3}{1}$
= 3 bearings/day

$\text{You know, equation of a straight line}$
$\text{is given by}y=mx$

$\text{∴ Equation of line will be}y=3x$