Question

QUICK !!!

Find the equation of the linear function represented by the table below in slope-intercept form

Answer 1

Looks to me like y= x + 1

Answer 2

In slope-intercept form, the equation is
`\(y = x + 1\).`

To find the equation of the linear function represented by the table in slope-intercept form
`(\(y = mx + b\))`, you need to determine the slope (\(m\)) and the y-intercept
`(\(b\))`.

Let's use two points from the table to find the slope (\(m\)):

`\((1, 2)\) and \((2, 3)\)`

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

`\[ m = (3 - 2)/(2 - 1) = 1 \]`

Now that we have the slope (\(m = 1\)), we can use one of the points (let's use
`\((1, 2)\))` to find the y-intercept (\(b\)):

`\[ y = mx + b \]`

`\[ 2 = 1 \cdot 1 + b \]`

`\[ b = 1 \]`

So, the equation of the linear function is:

`\[ y = x + 1 \]`