SOLUTION: Given the equation, find the ordered pairs using the partially filled in table. y=3x+2 x | y 0 | ? 2 | ? ? | 0 ?

SOLUTION: Given the equation, find the ordered pairs using the partially filled in table. y=3x+2 x | y 0 | ? 2 | ? ? | 0 ? | 5

Question 1089221: Given the equation, find the ordered pairs using the partially filled in table.
y=3x+2
x | y
0 | ?
2 | ?
? | 0
? | 5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Row 1:

If x = 0, then

Replace x with 0

So the value x = 0 pairs up with y = 2.

The fact that x is 0 here indicates we have an y intercept. This is where the graph crosses the y axis.

--------------------------------------------------

Row 2:

If x = 2, then

Replace x with 2

So the value x = 2 pairs up with y = 8.

--------------------------------------------------

Row 3:

If y = 0, then

Replace y with 0

Subtract 2 from both sides

Divide both sides by 3

So the value x = -2/3 pairs up with y = 0.

The fact that y is 0 here indicates we have an x intercept. This is where the graph crosses the x axis.

--------------------------------------------------

Row 4:

If y = 5, then

Replace y with 5

Subtract 2 from both sides

Divide both sides by 3

--------------------------------------------------

Here's a look at the full completed table (updated entries in red)

x	y
0	2
2	8
-2/3 (see note below)	0
1	5

note: The value x = -2/3 is approximately equal to x = -0.667 rounded to 3 decimal places

--------------------------------------------------

If we plot all of the points and draw a single straight line through them, then we end up with what is shown below.

The four points are

A = (0, 2)
B = (2, 8)
C = (-2/3, 0)
D = (1, 5)

where A,B,C,D corresponds to the (x,y) pairings found in row1,row2,row3,row4 in that order.

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