Question

graph the following features: • y-intercept = -1 • slope = -2

Explanation:

Step1: Write line equation (slope-intercept)

The slope-intercept form is $y = mx + b$, where $m=-2$ (slope) and $b=-1$ (y-intercept). Substitute values:
$y = -2x - 1$

Step2: Plot y-intercept point

The y-intercept is at $(0, -1)$; mark this point on the graph.

Step3: Use slope for second point

Slope $m=\frac{\Delta y}{\Delta x}=\frac{-2}{1}$. From $(0,-1)$, move 1 unit right and 2 units down to get $(1, -3)$; mark this point.

Step4: Draw the straight line

Connect the two points $(0,-1)$ and $(1,-3)$, then extend the line across the grid.

Answer:

The line $y = -2x - 1$ is graphed by plotting the y-intercept $(0, -1)$, using the slope to find a second point $(1, -3)$, and drawing a straight line through these points (extended across the coordinate grid).