What are the steps to graph y = -2x + 4?

To graph \( y = -2x + 4 \), plot the y-intercept, use the slope to find another point, and draw the line.

First, identify the y-intercept of the equation \( y = -2x + 4 \). The y-intercept is the point where the line crosses the y-axis. In this equation, the y-intercept is 4, which means the line crosses the y-axis at the point (0, 4). Plot this point on your graph.

Next, use the slope to find another point on the line. The slope of the equation is -2, which means for every 1 unit you move to the right along the x-axis, you move 2 units down along the y-axis. Starting from the y-intercept (0, 4), move 1 unit to the right to (1, 4), then move 2 units down to (1, 2). Plot this second point (1, 2) on your graph.

Now that you have two points, you can draw the line. Use a ruler to draw a straight line through the points (0, 4) and (1, 2). Extend the line in both directions, and add arrows at the ends to indicate that the line continues infinitely.

Finally, label the line with its equation \( y = -2x + 4 \) to complete your graph. This helps anyone looking at the graph to understand which equation it represents.