Question

Find the equation of the line that passes through the points (3,-2) and (6,-8)

Answer 1

`2x + y = 4`

Explanation:

The two-point form of the equation of a line is:

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

We have:

x1 = 3

y1 = -2

x2 = 6

y2 = -8

Plug in all the values where they belong in the equation above.

`y - (-2) = (-8 - (-2))/(6 - 3)(x - 3)`

Simplify.

`y + 2 = (-6)/(3)(x - 3)`

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

`y + 2 = -2x + 6`

`2x + y = 4`