Question

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

Answer 1

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=(y_(2)-y_(1))/(x_(2)-x_(1))`.

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

`m=(7-3)/(3-1)`.

`m=(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`