Answer:
The equation of the line has a slope of -5 and passes through the point (2, 2) is y = -5x + 12 .
Option (D) is correct.
Step-by-step explanation
The equation of the line
y = mx + c
where m is the slope and c is the y - intercept .
As given
A line has a slope of -5 and passes through the point (2, 2).
The slope of the line is -5.
m = -5
Put in the equation of the line
y = -5x + c
Put x = 2 and y = 2
2 = -5 × 2 + c
2 = - 10 + c
2 + 10 = c
12 = c
Put the value of c in the y = -5x + c
y = -5x + 12
Therefore the equation of the line has a slope of -5 and passes through the point (2, 2) is y = -5x + 12 .
Option (D) is correct.