Question

Find the equation of the linear function represented by the table below in slope-intercept form. Answer: y=

Answer 1

y = 2x + 6

Step-by-step explanation:

The slope-intercept form of a linear equation can be found as:

`y=m(x-x_1)+y_1`

Where m is the slope and it is calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

And (x1, y1) and (x2, y2) are values from the table. So, we can replace (x1, y1) by (0,6) and (x2, y2) by (1, 8):

Then, the slope is:

`m=(8-6)/(1-0)=(2)/(1)=2`

Therefore, the equation of the line is:

`\begin{gathered} y=2(x-0)+6 \\ y=2x+6 \end{gathered}`

So, the answer is y = 2x + 6