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Answer:
y ≤ -2x - 2
Step-by-step explanation:
Slope- intercept form is <em>y = mx + b</em>, <em>m</em> being the slope and <em>b</em> being the y-intercept.
The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -. We can also simply say that the slope is -2.
The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.
Because the shading is on the left side of the line and the line is solid, we can tell that y is <em>less than or equal to</em> -2x - 2. So, the equation is-
y ≤ -2x - 2