Question

For the equation 4x−2y=8 a) Complete the table to find the intercepts:

Answer 1

a)

For the first line of the table, we have the value of y and we want to find the value of x when y is equal to 5, our equal is

`4x-2y=8`

Let's put y equal to zero and solve it for x

`\begin{gathered} 4x-2\cdot0=8 \\ \\ 4x=8 \\ \\ x=(8)/(4)=2 \end{gathered}`

Then when y = 0 we have x = 2.

Now let's solve it for x equal to zero

`\begin{gathered} 4x-2y=8 \\ \\ 4\cdot0-2y=8 \\ \\ -2y=8 \\ \\ y=(-8)/(2)=-4 \end{gathered}`

When when x = 0 we have y = -4. Now we can complete the table!

And the points on the graph will be