Question
Graph the linear y=1/3x + 4
Answers
Answered by
GPT 3.5
To graph the linear equation y = 1/3x + 4, we can start by plotting a few points on the graph.
First, we can choose an x-value and find the corresponding y-value using the equation. Let's choose x = 0:
y = 1/3(0) + 4 = 0 + 4 = 4
So the point (0, 4) is on the graph.
Next, let's choose another x-value and find the corresponding y-value. Let's choose x = 3:
y = 1/3(3) + 4 = 1 + 4 = 5
So the point (3, 5) is on the graph as well.
Now, we can plot these two points on the coordinate plane:
|
5 |
|
4 | • (0, 4)
|
3 |
|
2 |
|
1 | • (3, 5)
|
0 ______________
0 1 2 3
After plotting these two points, we can draw a straight line passing through them to complete the graph. The graph of the equation y = 1/3x + 4 is a line with a positive slope that goes through the points (0, 4) and (3, 5).
First, we can choose an x-value and find the corresponding y-value using the equation. Let's choose x = 0:
y = 1/3(0) + 4 = 0 + 4 = 4
So the point (0, 4) is on the graph.
Next, let's choose another x-value and find the corresponding y-value. Let's choose x = 3:
y = 1/3(3) + 4 = 1 + 4 = 5
So the point (3, 5) is on the graph as well.
Now, we can plot these two points on the coordinate plane:
|
5 |
|
4 | • (0, 4)
|
3 |
|
2 |
|
1 | • (3, 5)
|
0 ______________
0 1 2 3
After plotting these two points, we can draw a straight line passing through them to complete the graph. The graph of the equation y = 1/3x + 4 is a line with a positive slope that goes through the points (0, 4) and (3, 5).