Question

Create a table of values for the graph of 3x + 2y = 18 where the values of x are -1 to 3

Answer 1

The table for the linear equation is:

x y

-1 10.5

0 9

1 7.5

2 6

3 4.5

How to complete the table?

Here we want to complete the table for the function:

3x + 2y = 18

First, solving the equation for y we will get:

2y = -3x + 18

y = (-3/2)*x + 18/2

y = (-1.5)*x + 9

Now we need to evaluate this in the given interval.

if x = -1

y = (-1.5)*-1 + 9

y = 1.5 + 9 = 10.5

if x = 0

y = (-1.5)*0 + 9 = 9

if x = 1

y = (-1.5)*1 + 9 = 7.5

if x = 2

y = (-1.5)*2 + 9 = 6

if x = 3

y = (-1.5)*3 + 9 = 4.5

Then the complete table is:

x y

-1 10.5

0 9

1 7.5

2 6

3 4.5