Questions: Graph the line. y=-2x-3

Graph the line. y=-2x-3
Transcript text: Graph the line. \[ y=-2 x-3 \]
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Solution

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Solution Steps

Step 1: Identify the slope and y-intercept

The given equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, m = -2 and b = -3.

Step 2: Plot the y-intercept

The y-intercept is the point where the line crosses the y-axis. Since b = -3, the y-intercept is at the point (0, -3). Plot this point on the graph.

Step 3: Use the slope to find another point

The slope is -2, which can be written as -2/1. This means that for every 1 unit we move to the right along the x-axis, we move 2 units down along the y-axis. Starting from the y-intercept (0, -3), move 1 unit to the right and 2 units down to find the point (1, -5). Plot this point.

Step 4: Draw the line

Draw a straight line through the two plotted points, (0, -3) and (1, -5). Extend the line in both directions.

Final Answer: The graph of the line y = -2x - 3 is a straight line passing through the points (0, -3) and (1, -5).

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