Question

Find the equation of the line

passing through the points (3,1)
and (7,-7).
y = [? ]x + []

Answer 1

Given:

A line passes through two points are (3,1) and (7,-7).

To find:

The equation of the line.

Solution:

The line passes through two points are (3,1) and (7,-7). So, the equation of line is

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

`y-1=(-7-1)/(7-3)(x-3)`

`y-1=(-8)/(4)(x-3)`

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

Using distributive property, we get

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

`y-1=-2x+6`

Adding 1 on both sides, we get

`y=-2x+6+1`

`y=-2x+7`

Therefore, the equation of line is
`y=-2x+7`. So, the missing values are -2 and 7 respectively.