Question

graph this line using the slope and y-intercept:
y = -2x - 1
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. For $y=-2x-1$, $b=-1$, so the y-intercept point is $(0, -1)$.

Step2: Identify slope

In $y=mx+b$, $m$ is the slope. Here, $m=-2$, which can be written as $\frac{-2}{1}$ (rise over run).

Step3: Find second point

From the y-intercept $(0, -1)$, move down 2 units (rise = -2) and right 1 unit (run = 1) to get the point $(1, -3)$. Alternatively, move up 2 units and left 1 unit to get $(-1, 1)$.

Step4: Draw the line

Plot the points $(0, -1)$ and $(1, -3)$ (or $(-1, 1)$), then draw a straight line through them.

Answer:

1. Plot the y-intercept point: $(0, -1)$
2. Plot a second point using the slope: $(1, -3)$ (or $(-1, 1)$)
3. Draw a straight line connecting the points, extending it across the grid.