I'm sorry, but I am unable to create a visual representation as I am a text-based AI. However, I can guide you through the process of graphing the line with a slope of 2/5 that goes through the point (3,1) on a coordinate plane.
To graph the line, you can follow these steps:
1. Plot the point (3,1) on the coordinate plane. This will be your starting point.
2. Since the slope is 2/5, it means that for every 5 units you move horizontally to the right, you should move 2 units vertically upwards. This slope can also be expressed as a rise of 2 and a run of 5.
3. Starting from the point (3,1), move 5 units to the right. This will take you to the point (8,1), as you are only moving horizontally.
4. Next, move 2 units vertically upwards from the point (8,1). This will take you to the point (8,3), as you are only moving vertically.
5. Now, you have two points on the line: (3,1) and (8,3). Plot these two points on the coordinate plane.
6. Finally, draw a straight line through the two points. This line represents the line with a slope of 2/5 that goes through the point (3,1).
Remember, every point on this line will have a y-coordinate that is 2/5 times its x-coordinate plus some constant value.
Graph the line with a slope of 2/5
that goes through (3,1)
Step 1: Click on the line BC button
Step 2: Click on (3,1) on the coordinate plane to create point B
Step 3: Drag point C to create a line with a slope of 2/5
1 answer