Question

HELP!
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(60) PTS!!

Answer 1

Option A)
`y + 7 = -3(x - 5)` is correct

Explanation:

The points through which the above line passes is (0,8) (4,0) and (5,-7).

Taking any two points and forming the equation of line,

take the 2 points as (0,8) and (5,-7).

The slope is calculated as,

`m =  (y2-y1)/(x2-x1) = ((8)-(-7))/((0)-(5)) = (15)/(-5) = -3`

Thus the equation of line is,

`(y - 8) = m(x-0) = (-3)(x)`

This can be rearanged as,

`y + 7 = -3x + 15 = -3(x-5)`

Thus, option A is correct.