Question

Which equation describes this line? A. y-3=2(x-2) B. y-9=2(x-1) C. y-1=2(x-9) D. y-2=2(x-3)

Answer 1

y = 2x + 7

Explanation:

Step 1: Find slope

m = (9 - 3)/(1 + 2)

m = 2

y = 2x + b

Step 2: Find b

9 = 2(1) + b

9 = 2 + b

7 = b

Step 3: Rewrite equation

y = 2x + 7

Answer 2

B) y - 9 = 2(x - 1)

Explanation:

(-2, 3) ;(1,9)

`Slope =(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(9-3)/(1-[-2])\\\\=(6)/(1+2)\\\\=(6)/(3)\\\\=2`

(1, 9 ) ; m = 2

Equation:
`y - y_(1)=m(x - x_(1))\\\\`

y - 9 = 2(x - 1)

y - 9 = 2x -2

y = 2x - 2 + 9

y = 2x + 7