Question

x 2 3 -10 2) a) Complete the table of values for 3x +2y=6 6 2 3 -2 -1 0 4.5 3 -1.5 y -10 b) On the grid, draw the graph of 3x +2y=6 -72 -6- 5 -4 -3 -2 1 -2 --1 OL 1 2. 3 -1 --2 Page 96 A c) Find the gradient of the graph of 3x +2y=6. Page 96 B​

Answer 1

Explanation:

Part A

Let's write the standard form of the function


`3x+2y=6 \\\\ y=-1,5x+3 - \ \text {\sf standard form}`

Fill in the table

`\large \begin{array}\cline{8-14} x&-2&-1 &0&1&2&3 \cline{8-14} y&\bf 6&4,5&3&\bf 1,5 &\bf 0&-1,5\cline{8-14} \end{array}`

Part B

Using this table, we will build a graph

In the attached file

Part C

We have already reduced the function to the standard form

for a linear function y=mx+k ; m is a gradient

In our case y = -1,5x+3

Then the gradient is -1.5