Question

A line 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

Answer 1

D

Explanation:

I took the test and made 100%

Answer 2

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.