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

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)

Answer 2

Answer:

Option D is correct.

(-1, -7)

Step-by-step 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)