Answer:
D.
(-7, 3)
Explanation:
Given equation
y - 3 = 4(x + 7)
points are in form of (x,y) that is first value represent value of coordinate and
second value y represents value of y coordinates.
to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.
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A.
(7, 3)
substituting x with 7 in the equation
y - 3 = 4(7 + 7)
=> y - 3 = 4(14)
=> y - 3 = 56
=> y = 56+3 = 59
Thus, we see value of y when x is 7 is 59
which is not equal to 3 as given in option A hence option A is not correct choice
B.
(7, -3)
As seen above for x = 7 , y is 59 hence option B is also incorrect
C.
(-7, -3)
substituting x with -7 in the equation
y - 3 = 4(-7 + 7)
=> y - 3 = 4(0)
=> y - 3 = 0
=> y = 0+3 = 3
Thus, we see value of y when x is -7 is 3
which is not equal to -3 as given in option C hence option C is not correct choice
D.
(-7, 3)
As calculated above value of y when x is -7 is 3
hence
option D is correct choice.