Question

Write the equation of the line that passes through the points (-6,-4) (6,-9) Put your answer in fully reduce points out form unless it is a vertical or horizontal line

Answer 1

`5x + 12y = -78`

or

`y = -(5)/(12)x - (13)/(2)`

Explanation:

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

`y - (-4) = (-9 - (-4))/(6 - (-6))(x - (-6))`

`y + 4 = (-9 + 4)/(6 + 6)(x + 6)`

`y + 4 = (-5)/(12)(x + 6)`

`12y + 48 = -5x - 30`

`5x + 12y = -78`

`12y = -5x - 78`

`y = -(5)/(12)x - (13)/(2)`

Answer:

`5x + 12y = -78`

or

`y = -(5)/(12)x - (13)/(2)`