Question

B. If two points on a line are A(11, - 1) and B(13, 3) , what is the equation of the line in point -stope form ?

Answer 1

Given:

Two points on a line are A(11, - 1) and B(13, 3).

To find:

The point slope form of the line.

Solution:

Point slope form: If a line passes through two points
`(x_1,y_1)\text{ and }(x_2,y_2)`, then the point slope form of the line is

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

where, m is slope, i.e.,
`m=(y_2-y_1)/(x_2-x_1)`.

Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is

`m=(3-(-1))/(13-11)`

`m=(3+1)/(2)`

`m=(4)/(2)`

`m=2`

The slope of the line is 2 and it passing through (11,-1). So, the point slope form is

`y-(-1)=2(x-11)`

`y+1=2(x-11)`

Therefore, the required point slope form is
`y+1=2(x-11)`.