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31 votes
31 votes
A) Complete the table of values for y = 2x + 3

x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?

User Sahan Maldeniya
by
3.1k points

1 Answer

10 votes
10 votes

Answer:

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

User Jubalm
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