Answer:
Option (A)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Slope of the line passing through two points (0, 5) and (4, -7),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5+7}{0-4}[/tex]
= -3
As slope of the line is negative, Options (A) and (B) will be the possible options.
Therefore, equation of the line passing through (4, -7) will be,
y - (-7) = -3(x - 4)
y + 7 = -3(x - 4)
Therefore, Option (A) will be the correct option.
