Question

Find the equation of the line

passing through the points (2,11)
and (-8,-19).
y = [ ? ]x + [ ]

Answer 1

Answer: 3x+5

Explanation:

Answer 2

Given:

A line passes through two points are (2,11) and (-8,-19).

To find:

The equation of the line.

Solution:

The line passes through two points are (2,11) and (-8,-19). So, the equation of line is

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

`y-11=(-19-11)/(-8-2)(x-2)`

`y-11=(-30)/(-10)(x-2)`

`y-11=3(x-2)`

Using distributive property, we get

`y-11=3(x)+3(-2)`

`y-11=3x-6`

Adding 11 on both sides, we get

`y=3x-6+11`

`y=3x+5`

Therefore, the equation of line is
`y=3x+5`. So, the missing values are 3 and 5 respectively.