Graph the line with slope −2 passing through the point −4, 2.

Step 1: Plot the given point The first step is to plot the given point (-4, 2) on the graph. This point will be 4 units to the left of the origin (because of -4) and 2 units up (because of 2).

Step 2: Use the slope to find the next point The slope of the line is -2, which means that for every 1 unit you move to the right from (-4, 2), you move 2 units down. So, if you start at (-4, 2) and move 1 unit to the right, you end up at (-3, 0).

Step 3: Draw the line Now that you have two points, (-4, 2) and (-3, 0), you can draw a line passing through these points. This line represents the equation of the line with slope -2 passing through the point (-4, 2).

And that's it! You have graphed the line with slope -2 passing through the point -4, 2.