Given the problem: Graph the line with slope -2/3 passing through the point (-5, 2).
So first, get a grid paper, or a graph set up already, with an x and y axis. Next, label the x and y axis (1, 2, 3, 4…). Now you have a blank graph with no line yet. Now is when we’re going to draw the line in the given problem on the graph.
Let’s look at (-5, 2). That’s the point we have to make sure it passes through. The smartest thing to do whoever you see a question like this is to start at the given point. So in this case, start at (-5, 2).
Next, slope is always rise/run, so that means we have to figure out what -2/3 is. First, is -2 rise? The answer is no. It would be if it was just a positive 2, but it’s negative. So in this case, it’s down 2. Now, run, what about 3? As we know, the left side quadrants of the graph are negative, and the right are positive, so 3 would run right 3, since 3 is positive. If 3 was negative, then go left 3.
So slope is down 2, right 3.
Now draw it!
Plot the point at (-5,2). Then, go down 2 and right 3, plot another point, do the same process and keep going. Remember to draw an arrow after you do not have space to plot more to indicate that the line keeps going.
Also don’t forget to do the other side! We went down from (-5,2) but there’s still the top. Do the opposite of what you just did. Now it’s up 2 and left 3. Plot the points. The line should go down from left to right is done correctly and every point from the next should have a slope of -2/3.