Question

The table of values represents a linear function.

X Y
-2. 1
0. -9
2. -19
4. -29
6. -39
Complete the equation below to represent the function defined by the table in the form
y = mx + b.

Answer 1

The linear function is
`\(y = -5x - 9\)`, with a slope
`(\(m\))` of -5 and a y-intercept
`(\(b\))` of -9.

To find the equation of the linear function in the form
`\(y = mx + b\),` where
`\(m\)` is the slope and
`\(b\)` is the y-intercept, we need to determine these values using the given table of values.

Let's calculate the slope
`(\(m\))`:

`\[ m = \frac{\text{change in } y}{\text{change in } x} \]`

Using the values from the table:

`\[ m = (-9 - 1)/(0 - (-2)) = (-10)/(2) = -5 \]`

Now that we have the slope
`(\(m\))`, we can use any point from the table to find the y-intercept
`(\(b\))`. Let's use the point (0, -9):

`\[ -9 = (-5)(0) + b \]`

`\[ b = -9 \]`

So, the equation of the linear function is:

`\[ y = -5x - 9 \]`

In this equation, the slope
`(\(m\))` is -5, indicating that for every unit increase in
`\(x\), \(y\)` decreases by 5. The y-intercept
`(\(b\))` is -9, which is the value of
`\(y\) when \(x\)` is 0.

Answer 2

5 mx plus b which you have to do 5 plus m to get 5m which is ur answer