Looking at this zoomed-in view of the graph from x=0 to x=5, I can clearly see the grid lines and the red points plotted on the blue line. Let me verify if these points satisfy the equation y = 3x + 1.
Let's check each point:
- At x=0: The point is at y=1. According to the equation: y = 3(0) + 1 = 1 ✓
- At x=1: The point is at y=4. According to the equation: y = 3(1) + 1 = 4 ✓
- At x=2: The point is at y=7. According to the equation: y = 3(2) + 1 = 7 ✓
- At x=3: The point is at y=10. According to the equation: y = 3(3) + 1 = 10 ✓
- At x=4: The point is at y=13. According to the equation: y = 3(4) + 1 = 13 ✓
All the plotted points perfectly match the equation y = 3x + 1. This confirms that the graph correctly represents this linear equation.
The problem appears to be asking to verify or understand the relationship shown in the graph. The solution is that the graph accurately depicts the linear equation y = 3x + 1, with a slope of 3 and a y-intercept of 1. The red points are specific solutions to this equation, showing that for each x-value, the corresponding y-value follows the pattern defined by the equation.
This is a straightforward verification problem where we need to confirm that the plotted points on the graph satisfy the given linear equation. Since all the visible points do satisfy the equation, the graph is correct.
Parent Tip: Review the logic above to help your child master the concept of input output function tables.
