You can
put this solution on YOUR website!Notice how as x goes up by 1, y goes up by 3. So this implies a linear relationship. This means that the equation is a line.
So let's find equation of the line through the first two points (0,-2) and (1,1) (note: you can pick any pair of points)
First let's find the slope of the line through the points
)
and
)
Start with the slope formula.
Plug in
,
,
,
, ,
Subtract
from
to get
Subtract
from
to get
Reduce
So the slope of the line that goes through the points
and
is
Now let's use the point slope formula:
Start with the point slope formula
Plug in
,
, and
Rewrite
as
Distribute
Multiply
Subtract 2 from both sides.
Combine like terms.
Simplify
So the equation that goes through the points
and
is
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Answer:
So the function takes the x values and produces the y values is
Notice how the graph of
goes through the points (0,-2), (1,1), (2,4), (3,7) and (4,10). So this visually verifies our answer.
Graph of
(