Question

Find the equation of line passing through points A (1, 3) and B (3, 7).

Answer 1

Solution:

To find the equation of line passing through points A (1, 3) and B (3, 7).

we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points $(x_{1} ,y_{1})$ and $(x_{2}, y_{2})$ is given by - $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.

Slope of the line at point A(1,3) and B(3,7)

$m=\frac{7-3}{3-1}$.

$m=\frac{4}{2}$.

$m=2$.

Equation of a line using a point and a slope , $y-y_{1}= m(x-x_1)$

$y-3= 2(x-1)$

$y-3= 2x-2$

$y= 2x-2+3$

$y= 2x+1$

The equation of line passing through points A (1, 3) and B (3, 7) : $y= 2x+1$