Question

Can you graph (y=4x+2)
(y=2x-4)

Answer 1

The graph of the equation
`\(y = 4x + 2\)` and the graph of the equation
`\(y = 2x - 4\)` is attached below.

To graph
`\(y = 4x + 2\)` and
`\(y = 2x - 4\)`, we can follow these steps:

Step 1: Choose values for
`\(x\)`: Pick some values for
`\(x\)` to determine corresponding
`\(y\)` values. For example, we can choose
`\(x = -2, -1, 0, 1, 2\)`.

Step 2: Use the equations to find
`\(y\)`: Substitute the chosen values of
`\(x\)` into the equations to find the corresponding
`\(y\)` values.

For
`\(y = 4x + 2\)`:

`\text{For } x = -2 & : y = 4(-2) + 2 = -6`

`\text{For } x = -1 & : y = 4(-1) + 2 = -2`

`\text{For } x = 0 & : y = 4(0) + 2 = 2`

`\text{For } x = 1 & : y = 4(1) + 2 = 6`

`\text{For } x = 2 & : y = 4(2) + 2 = 10`

For
`\(y = 2x - 4\)`:

`\text{For } x = -2 & : y = 2(-2) - 4 = -8`

`\text{For } x = -1 & : y = 2(-1) - 4 = -6`

`\text{For } x = 0 & : y = 2(0) - 4 = -4`

`\text{For } x = 1 & : y = 2(1) - 4 = -2`

`\text{For } x = 2 & : y = 2(2) - 4 = 0`

Step 3: Plot the points: Plot the points
`\((x, y)\)` on a coordinate plane.

Step 4: Draw the lines: Connect the points for each equation to draw the lines.

The graph of
`\(y = 4x + 2\)` is steeper, and the graph of
`\(y = 2x - 4\)` has a gentler slope.