Can you explain on a graph as x increases by 1 y increases by 3 thank you
Yes, I can explain it to you graphically.
To represent the situation where, as x increases by 1, y increases by 3, we will plot the points on a graph.
First, identify a starting point or a point on the graph, let's say (0, 0).
Next, we increase x by 1 and find the corresponding value of y. In this case, as x increases by 1, y increases by 3. Therefore, when x is 1, y will be 3. So, the next point on the graph will be (1, 3).
We can repeat this process for a few more points:
- When x is 2, y will be 6. So the point is (2, 6).
- When x is 3, y will be 9. So the point is (3, 9).
By connecting these points on the graph, we will have a straight line. This is because the relationship between x and y is linear, with each increase in x resulting in a consistent increase in y.
The graph will look like a straight line that starts at the point (0, 0) and goes up diagonally, with the slope of the line being 3 (since y increases by 3 as x increases by 1).
I hope this visualization helps!
Yes it does explain it but when I look at eon the graph to try an count it I can't figure out how it increases like if I try to do the rise over run way, am I doing it wrong?
No, you're not doing it wrong. The "rise over run" method is an accurate way to determine the slope of the line on a graph. Let me explain it further to help you understand.
In this case, as x increases by 1, y increases by 3. This means the slope of the line is:
slope = (change in y) / (change in x) = 3/1 = 3
So for every 1 unit increase in x, there is a corresponding 3 unit increase in y. This tells us that the line is going up steeply, with a slope of 3.
To use the "rise over run" method, select two points on the line, let's say (0, 0) and (1, 3). The rise is the vertical change between these points, which is 3 units, and the run is the horizontal change, which is 1 unit.
So, rise/run = 3/1 = 3.
This means that for each 1 unit increase in x (run), there is a 3 unit increase in y (rise), which is exactly what we observed in the original statement.
The graph shows a straight line with a slope of 3, meaning that for every 1 unit increase in x, y increases by 3 units. If you use the "rise over run" method accurately, you will find the same result.
I hope this clarifies it for you!
Yes thank you so much
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
Of course! The statement "as x increases by 1, y increases by 3" can be represented graphically as a straight line with a slope of 3.
To create the graph, you can start by labeling the x-axis with the values of x and the y-axis with the values of y. Then, you can plot points on the graph such that for every unit increase in x, y increases by 3.
For example, you can start with the point (0, 0) as the origin. Then, when x increases to 1, y increases by 3, resulting in the point (1, 3). Similarly, when x increases to 2, y increases by 3 again, leading to the point (2, 6), and so on.
If you connect all these points on the graph, you will obtain a straight line that goes through each of the plotted points. This line has a slope of 3, indicating that for every unit increase in x, y increases by 3.
Hope this helps! Let me know if you have any further questions.
Sure! To graph the relationship where x increases by 1 and y increases by 3, we can create a coordinate system with x on the horizontal axis and y on the vertical axis.
First, let's choose a starting point. For simplicity, let's start at the origin (0, 0), where x = 0 and y = 0.
Now, as x increases by 1, y increases by 3. This means that for each x-value, we add 3 to the corresponding y-value. So, for the first point, since x = 0, y = 0, the next point will be (1, 3). Then, as x increases by 1 again, y will increase by 3 again, giving us the next point (2, 6).
We can continue this pattern to generate more points. The table below shows the x and y values:
x | y
0 | 0
1 | 3
2 | 6
3 | 9
4 | 12
and so on...
By plotting these points on the graph and connecting them, you will get a line that represents the relationship where x increases by 1 and y increases by 3.
I hope this explanation helps! Let me know if you have any further questions.