The only ordered pairs that satisfy the function, y = 4x + 3 are, (-1, -1), and (2, 11).
Given to us,
y = 4x + 3,
(x, y)
(-1, -1)
(2, 11)
(4, 7)
(7, 1)
Solution
we can check which points are lying on y = 4x + 3, either by plotting the graph or by putting the values of x and y in the function.
a.) y = 4x + 3, (-1, -1)
[tex]-1 = 4(-1) +3\\-1= -4+3\\-1 = -1[/tex]
Both sides are equal. thus, the points will lay on this function.
b.) y = 4x + 3, (2, 11)
[tex]11 = 4(2) +3\\11= 8+3\\11 = 11[/tex]
Both sides are equal. thus, the points will lay on this function.
c.) y = 4x + 3, (4, 7)
[tex]7 = 4(4) +3\\7= 16+3\\11 \neq 11[/tex]
Both sides are not equal. thus, the points will not lay on this function.
d.) y = 4x + 3, (7, 1)
[tex]1 = 4(7) +3\\1= 28+3\\1 \neq 31[/tex]
Both sides are not equal. thus, the points will not lay on this function.
The graph for this function and points is also drawn below.
Hence, the only ordered pairs that satisfy the function, y = 4x + 3 are, (-1, -1), and (2, 11).
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