Question

Which equation represents the line that passes through (-6, 7) and (-3, 6)

Answer 1

D

Explanation:

i took the test

Answer 2

x + 3y - 16 = 0

Explanation:

When two points, say
`$ (x_1, y_1) $` and
`$ (x_2, y_2) $` are given, the equation is determined using Two - point form.

The two - point form is as follows:

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

Here:
`$ (x_1, y_1) = (-6, 7) $` and
`$(x_2, y_2) = (-3, 6) $`.

Substituting in the formula we get the equation of the line as:

`$ (y - 7)/(6 - 7) = (x + 6)/(- 3 + 6)`

`$ \implies (y - 7)/(- 1) = (x + 6)/( 3) $`

`$ \implies 3y - 21 = - x - 6 $`

Rearranging we get: x + 3y - 15 = 0

This is the required equation of the line.