201k views
4 votes
If the y-value of a linear equations decrease and the slope is positive, then it is

User Underdark
by
8.4k points

1 Answer

6 votes

Final answer:

If the y-value decreases while the slope is positive, it typically suggests that the x-value is decreasing - in an ideal scenario with a positive slope, as x increases, y should also increase. However, this could also point to a discrepancy as it contradicts the normal behavior of a line with a positive slope.

Step-by-step explanation:

If the y-value of a linear equation decreases and the slope is positive, then it is likely that we are looking at a line graph where the x-value is increasing. Understanding the concept of slope is crucial in various fields, including economics, as it represents the relationship between two variables. A positive slope indicates a direct relationship, meaning as one variable increases, so does the other, and vice versa.

In the context of a line graph, a positive slope causes the line to rise as it moves from left to right. However, if you observe that the y-value is decreasing, it typically implies that the x-value is increasing, since with a positive slope, an increase in x naturally results in an increase in y. Therefore, if y is decreasing, it could be due to the section of the graph where x is decreasing, or it might indicate that there is a misunderstanding because normally, a positive slope would not lead to a decreasing y-value with an increasing x-value.

User Keto
by
7.5k points