Question

Which point lies on the line described by the equation below?y + 3 = 2(x - 1)

A. (2, 9)
B. (1, -4)
C. (1, 7)
D. (-1, -7)
E. (0, 0)
F. (2, 1)

Answer 1

Option D is correct.

(-1, -7)

Explanation:

Given the equation of line:
`y+3 = 2(x-1)` ......[1]

A.

(2, 9)

Substitute the value of x = 2 and y = 9 in [1]; we have;

`9+3 = 2(2-1)`

`12= 2` False.

Similarly, for

B.

(1, -4)

Substitute the value of x = 1 and y = -4 in [1]; we have;

`-4+3 = 2(1-1)`

`-1= 0` False.

C.

(1, 7)

Substitute the value of x = 1 and y = 7 in [1]; we have;

`7+3 = 2(2-1)`

`10= 2` False.

D.

(-1, -7)

Substitute the value of x = -1 and y = -7 in [1]; we have;

`-7+3 = 2(-1-1)`

`-4= 2(-2)`

`-4= -4` True

E.

(0,0)

Substitute the value of x = 0 and y = 0 in [1]; we have;

`0+3 = 2(0-1)`

`3= -2` False.

F.

(2, 1)

Substitute the value of x = 2 and y = 1 in [1]; we have;

`1+3 = 2(2-1)`

`4= 2` False.

Therefore, the only point which lies on the line described by the equation
`y+3 = 2(x-1)` is, (-1, -7)

Answer 2

y + 3 = 2(x - 1) =
y + 3 = 2x - 2

just a matter of subbing in answer choices to see which ones are correct.
(-1,-7)

-7 + 3 = 2(-1) - 2
-4 = -2 - 2
-4 = -4 (correct)