Question

blue
in# → out#
multiply your number by negative two.
y = -2x
describe what you see:

Explanation:

Step1: Identify the equation

The given equation is $y = - 2x$, which is a linear - function in slope - intercept form $y=mx + b$ (here $m=-2$ and $b = 0$).

Step2: Analyze the slope

The slope $m=-2$, which means for every increase of 1 in the $x$ - value, the $y$ - value decreases by 2. When $x = 0$, $y=0$; when $x = 1$, $y=-2$; when $x=-1$, $y = 2$.

Step3: Consider the graph

The graph of the equation $y=-2x$ is a straight line passing through the origin $(0,0)$ with a negative slope. It slants downwards from left to right.

Answer:

The graph shows a straight line representing the linear function $y = - 2x$. The line passes through the origin $(0,0)$ and has a negative slope of $-2$, meaning for every unit increase in $x$, $y$ decreases by 2 units.