Answer:
Option A) [tex]y + 7 = -3(x - 5)[/tex] is correct
Step-by-step 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,
[tex]m = \frac{y2-y1}{x2-x1} = \frac{(8)-(-7)}{(0)-(5)} = \frac{15}{-5} = -3[/tex]
Thus the equation of line is,
[tex](y - 8) = m(x-0) = (-3)(x)[/tex]
This can be rearanged as,
[tex]y + 7 = -3x + 15 = -3(x-5)[/tex]
Thus, option A is correct.
