Question

Someone help with this plsss

Answer 1

y = -2x + 1

Explanation:

Finding the slope
We should take 2 of the given coordinates in the table (For instance, (0, 1) and (1, -1)), and substitute them into the formula for a slope.

`m = (y_2 - y_1)/(x_2 - x_1) = (-1 - 1)/(1 - 0) = \frac{-2}1 = -2`

Finding the equation
A line's equation, if given its slope and a point that it passes through on the plane, is given by the formula:
`y - y_1 = m(x - x_1)`

We found the slope:
`m = -2`, and we are given a few coordinates to pick from. For the sake of simplicity, I'll take (0, 1). [Note: These coordinates represent possible values of
`x_1` and
`y_1`, where, in this case,
`x_1 = 0` and
`y_1 = 1`].

`y - 1 = -2(x - 0)\\\to y - 1 = -2x\\\to y = -2x + 1`