Aline has a slope of -5 and passes through the point (2, 2). an equation for this line is a) y = 2x + 2 b) y = 2x - 5 c) y = -5x - 2 d) y = -5x + 12

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.