Graphing Proportional Relationships Quick Check
5 of 55 of 5 Items
Question
Use the image to answer the question.
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 5 comma 1 right parenthesis.
Is this the correct graph of the equation y=15x?
(1 point)
Responses
Yes, it is the correct graph because the slope =51.
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y=15x
No, it is not the correct graph because the slope m=riserun=15.
Yes, it is the correct graph because the ordered pair (0, 0) satisfies the equation and the slope m=riserun=15.
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y=15x.
the pair is (5,1) tho
Apologies for the confusion. Yes, it is the correct graph because the ordered pair (5, 1) satisfies the equation y=15x and the slope m=riserun=15.
nevermind
Apologies for any confusion caused. If you have any further questions or need clarification, feel free to ask.
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y=15x.
To determine whether the given graph represents the equation y = 15x, we need to check if the graph has the correct slope and if the point (1, 5) lies on the graph.
To find the slope of the equation y = 15x, we compare it to the slope-intercept form of a linear equation, y = mx + b, where m is the slope. In this case, m = 15, which represents the rise over run. Therefore, we need to check if the graph has a slope of 15, as mentioned in the possible answer choices.
Next, we need to check if the point (1, 5) lies on the graph. The given coordinates in the question are (0, 0) and (5, 1). We can see that the point (1, 5) is not mentioned in the coordinates. Therefore, if the point (1, 5) does not lie on the graph, it means it does not satisfy the equation y = 15x.
Now, let's evaluate the answer choices based on the information we have:
- Yes, it is the correct graph because the slope = 51. (Incorrect: The slope should be 15, not 51.)
- No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y = 15x. (Correct: This explanation reflects the fact that (1, 5) is not mentioned in the coordinates.)
- No, it is not the correct graph because the slope m = rise/run = 15. (Incorrect: The given graph might actually have the correct slope, but we cannot determine that from the information given.)
- Yes, it is the correct graph because the ordered pair (0, 0) satisfies the equation and the slope m = rise/run = 15. (Incorrect: While (0, 0) satisfies the equation, we still do not have enough information to determine if the graph has the correct slope.)
Therefore, the correct answer is:
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y = 15x.