Question

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?

A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4

Answer 1

Answer: 2x+y = 20

Explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer 2

2x+y = 20

Explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20