Question

graph these equations:$y = -x - 3$$y = -x - 3$click to select points on the graph.

Explanation:

Step1: Identify slope-intercept form

The equation $y = -x - 3$ follows $y=mx+b$, where $m=-1$ (slope) and $b=-3$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is at $(0, -3)$; mark this point.

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x} = \frac{-1}{1}$. From $(0,-3)$, move 1 right, 1 down to $(1, -4)$; mark this point.

Step4: Use slope for third point

From $(0,-3)$, move 1 left, 1 up to $(-1, -2)$; mark this point.

Step5: Draw the line

Connect the three points to form the line (both equations are identical, so it's one line).

Answer:

The line passes through points $(0, -3)$, $(1, -4)$, $(-1, -2)$ and extends infinitely in both directions on the coordinate plane.