Question

A line goes through the points $(1,2)$ and $(5,10)$. Find the equation of the line.

• A. $y=4x-2$
• B. $y=2x$
• C. $y=3x-1$
• D. $y=x+5$
• E. $y=3x-5$

Answer 1

The correct option is B $y=2x$

Slope of line passing through $(1,2)$ and $(5,10)$ is

given by, $m=\frac{y_2-y_1}{x_2-x_1}=\frac{10-2}{5-1}=\frac{8}{4}=2$

Hence equation of line is given by,

$y-y_1=m(x-x_1)$

$\Rightarrow y-2=2(x-1)$

$\Rightarrow y=2x$