Is this the correct graph of the
equation y =1/5x?
(1 point)
No, it is not the correct
O graph because the slope m = rise =1/5
Yes, it is the correct graph because the ordered pair
• (0, 0) satisfies the equation and the
slope m = rise = 1/5
Yes, it is the correct graph
O because the slope =5/1
No, it is not the correct graph because the ordered
• pair (1. 5) is not a point.
Yes, it is the correct graph because the slope m = rise =1/5. The graph of the equation y =1/5x would have a slope of 1/5, which means that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 1/5. The graph shown represents this relationship. Additionally, the ordered pair (0,0) satisfies the equation, as substituting x=0 into the equation gives y=1/5(0) = 0. Therefore, the given graph is correct.
The correct answer is:
No, it is not the correct graph because the slope m = 1/5, not 5/1.
The correct answer is: No, it is not the correct graph because the slope m = 1/5.
To determine whether a given graph is correct for the equation y = (1/5)x, you need to understand the properties of the equation and how they manifest on a graph.
The equation y = (1/5)x is in slope-intercept form, where the coefficient of x represents the slope (m) of the line. In this case, the slope is 1/5.
To verify if a graph is correct, you should look for two pieces of information:
1. The slope (m): The slope indicates how steep the line is. In this equation, the slope is 1/5, meaning that for every unit increase in x, y increases by 1/5. You can calculate the slope by determining the rise (vertical change) over the run (horizontal change) between any two points on the line.
2. The presence of valid points: In the given equation, the point (0, 0) is valid because substituting x = 0 and y = 0 into the equation satisfies it. This means that the line should pass through the point (0, 0).
Based on these criteria, you can evaluate the options given:
- No, it is not the correct graph because the slope m = 1/5: This statement correctly identifies that the slope of the line in the graph should be 1/5. If the graph has a different slope, it is not correct.
- Yes, it is the correct graph because the ordered pair (0, 0) satisfies the equation and the slope m = 1/5: This statement correctly mentions that the point (0, 0) satisfies the equation. However, it does not explicitly mention the slope, which is essential for determining the correctness of the graph.
- Yes, it is the correct graph because the slope = 5/1: This statement suggests that the slope is 5/1, which is incorrect. The correct slope for the equation is 1/5.
- No, it is not the correct graph because the ordered pair (1, 5) is not a point: This statement correctly identifies that the point (1, 5) is not valid because substituting x = 1 and y = 5 into the equation does not satisfy it. However, it does not mention the slope of the line.
Therefore, the correct answer is: No, it is not the correct graph because the slope m = 1/5.