Question

Determine the equation of the line that passes through the points (-1 , 10) and (2,4)

Answer 1

Given:

The two points are (-1,10) and (2,4).

To find:

The equation of line which passes though the given points.

Solution:

If a line passes through two points, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The line passes through (-1,10) and (2,4). So, the equation of line is

`y-10=(4-10)/(2-(-1))(x-(-1))`

`y-10=(-6)/(2+1)(x+1)`

`y-10=(-6)/(3)(x+1)`

`y-10=-2(x+1)`

Using distributive property, we get

`y-10=-2x-2`

Adding 10 both sides, we get

`y=-2x-2+10`

`y=-2x+8`

Therefore, the required equation of line is
`y=-2x+8`.