Question

Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5

A.y = −5x + 2
B.y = −5x − 6
C.y = −5x − 4
D.y = −5x + 16

Answer 1

Answer: y = −5x + 16

Step-by-step explanation: i took the test and got it right

Answer 2

The correct answer is option D

y = −5x + 16

Explanation:

Points to remember

The equation of the line passes through the point (x1, y1) and the slope m is given by,

(y - y1)/(x - x1) = m

To find the equation of the line

Here (x1, y1) = (2, 6) and m = -5

(y - 6)/(x - 2) = -5

y - 6 = -5(x - 2)

y - 6 = - 5x + 10

y = -5x + 10 + 6

y = -5x + 16

The correct answer is option D

y = −5x + 16