Answer
$y = -\dfrac{1}{2}x$
Work Step by Step
The formula to find the slope of two given points on a line is:
$m = \dfrac{y_2 - y_1}{x_2 - x_2}$, where $m$ is the slope and $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.
Let's plug the coordinates of the points $(-2, 1)$ and $(0, 0)$ into the formula:
$$m = \dfrac{0 - 1}{0 - (-2)}$$
Simplify numerator and denominator:
$$m = \dfrac{-1}{2}$$
Let's plug the slope and one of the two points we are given into the point-slope form of an equation, which is given by the formula:
$y - y_1 = m(x - x_1)$, where $m$ is the slope of the line and $(x_1, y_1)$ is a point on that line.
Let's use the point $(0, 0)$ to plug into the formula:
$y - 0 = -\dfrac{1}{2}(x - 0)$
Simplify both sides of the equation:
$y = -\dfrac{1}{2}x$
