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Graph the line with slope −2 and y-intercept −4.

Question

Graph the line with slope −2 and y-intercept −4.

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Solution

Sure, here are the steps to graph the line with slope -2 and y-intercept -4:

  1. Start by plotting the y-intercept on the graph. The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is -4, so you would plot a point at (0, -4) on the graph.

  2. The slope of the line is -2, which can be written as -2/1. This means that for every 1 unit you move to the right on the x-axis, you move down 2 units on the y-axis.

  3. From the y-intercept (0, -4), move 1 unit to the right to x=1, and then move down 2 units to y=-6. Plot a point at this new location (1, -6).

  4. Repeat this process to plot a few more points. For example, from the point (1, -6), you could move 1 unit to the right to x=2, and then move down 2 units to y=-8. Plot a point at this new location (2, -8).

  5. Once you have plotted a few points, you can draw a straight line through them. This line represents the equation of the line with slope -2 and y-intercept -4.

Remember, the key to graphing a line is understanding that the slope is the change in y for each unit change in x, and the y-intercept is where the line crosses the y-axis.

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