Given:
y - 4 = (x + 2)
Put the equation in respect of y:
y = x + 2 + 4
y = x + 6
To find the points, let's solve for each of the given options:
a) For (-7, -1). When x is -7, y is -1
Here substitute x for -7 and y for -1:
-1 = -7 + 6
-1 =-1
Correct
B) (8, 11)
substitute x for 8 qnd y for 11
y = x + 6
11 = 8 + 6
11 = 14
Wrong
c) (3, 7)
Substitute x for 3 and y for 7
y = x + 6
7 = 3 + 6
7 = 9
Wrong
d) (1, 5)
Here substitute x for 1 and y for 5:
y = x + 6
5 = 1 + 6
5 = 7
Wrong
e) (-1, 0)
Here substitute x for -1 and y for 0:
y = x+ 6
0 = -1 + 6
0 = -5
Wrong
We can see the only option that equates to y is choice A.
ANSWER:
(-7, -1)