Question

What is the equation of the line represented by the table below?x4-2-1012y1272-3-8A. Y = -5x+ 2B. y = 10x-5O C. y = -2x+2D. y

Answer 1

In order to find the equation of the line, we can use two points from the table in the slope-intercept form of the linear equation:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Using the points (0, 2) and (1, -3), we have:

`\begin{gathered} (0,2)\colon \\ 2=m\cdot0+b \\ b=2 \\ \\ (1,-3)\colon \\ -3=m\cdot(1)+2 \\ m+2=-3 \\ m=-2-3 \\ m=-5 \end{gathered}`

So our equation is:

`y=-5x+2`

Therefore the correct option is A.