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Answer:
Step-by-step explanation:
Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.
Substituting the given x-value -2 into y = 2x + 3 results in y = -1.
If we now increase x by 1, from -2 to -1, y increases by 2: the new
y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.
Again, y = ?,,,1,,,,?,,?,,7,,? becomes y = -1, 1, ?,,?,,7. Note that -1 + 2 = 1;
1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.
So the given incomplete table of values
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
becomes:
x,,-2,,-1,,0,,1,,2,,3
y,,, -1,,1,,,3,,5,,7,,9