SOLUTION: The tables show linear relationships between x and y. Copy and complete the tables. x -2 0 ? 7 y -18 ? 12 27

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Question 936805: The tables show linear relationships between x and y. Copy and complete the tables.
x -2 0 ? 7
y -18 ? 12 27

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
You have two known points and two unknown points. Find slope, pick one of the known points, form the point-slope form for the linear equation and simplify it.

SLOPE,
-----This was my first mistake. Fixing the rest of the solution so it will be correct:

Fixing....






Picking (27,7)




, standard form for the linear equation.

Now to finish your table:
-
x=0, what is y?


y=-8 when x=0.
-
y=12, what is x?



x=4 when y=12.



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
given:
||| ? |
|| ? ||
to find missing numbers in a table, we need find equation first
where is a slope and is y-intercept

use two ordered pairs to find a slope: ,, , and





so far we have

lets now use the Point-Slope formula to find the equation of the line

plug in and





now we can complete the table:

||| |
|| ||
=>
=>=>

see the graph of this line and all points on it:





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