graph and then find the solution for y=1/2x+2 and y=-1/4x+8
use only two plots.
To graph the equations y = 1/2x + 2 and y = -1/4x + 8 using only two plots, we can create a table of x and y values for each equation and plot the corresponding points on the coordinate plane.
For y = 1/2x + 2:
Let's choose two x-values (0 and 4) and calculate the corresponding y-values:
For x = 0, y = 1/2(0) + 2 = 0 + 2 = 2
For x = 4, y = 1/2(4) + 2 = 2 + 2 = 4
Plot the points (0, 2) and (4, 4) on the coordinate plane.
For y = -1/4x + 8:
Again, let's choose two x-values (0 and 4) and calculate the corresponding y-values:
For x = 0, y = -1/4(0) + 8 = 0 + 8 = 8
For x = 4, y = -1/4(4) + 8 = -1 + 8 = 7
Plot the points (0, 8) and (4, 7) on the same coordinate plane.
Now, we can draw the line passing through the points (0, 2) and (4, 4) for y = 1/2x + 2, and the line passing through the points (0, 8) and (4, 7) for y = -1/4x + 8.
The solution to the system of equations is the point where the two lines intersect on the graph, which represents the x and y values that satisfy both equations simultaneously.
plot y=-1/4x+8 using two points
To plot the equation y = -1/4x + 8 using two points, we can choose any two x-values and find the corresponding y-values.
Let's choose x = 0 and x = 4:
For x = 0, y = -1/4(0) + 8 = 0 + 8 = 8
For x = 4, y = -1/4(4) + 8 = -1 + 8 = 7
Plot the points (0, 8) and (4, 7) on the coordinate plane and draw a straight line passing through these two points.
This line represents the graph of y = -1/4x + 8.
give right answer
Apologies for the mistake in the previous response.
To plot the equation y = -1/4x + 8 using two points, we can choose any two distinct x-values and find the corresponding y-values.
Let's choose x = 0 and x = 4:
For x = 0, y = -1/4(0) + 8 = 0 + 8 = 8
For x = 4, y = -1/4(4) + 8 = -1 + 8 = 7
Plot the points (0, 8) and (4, 7) on the coordinate plane and draw a straight line passing through these two points.
This line represents the graph of y = -1/4x + 8.
the solution to y=1/2x+2 and y==1/4x+8 is? (graph the plots)
Apologies for the confusion in my previous responses. Let me graph the plots and find the solution for the given equations:
First, let's create a table of x and y values for each equation:
For y = 1/2x + 2:
Let's choose two x-values (0 and 4) and calculate the corresponding y-values:
For x = 0, y = 1/2(0) + 2 = 0 + 2 = 2
For x = 4, y = 1/2(4) + 2 = 2 + 2 = 4
For y = 1/4x + 8:
Again, let's choose two x-values (0 and 4) and calculate the corresponding y-values:
For x = 0, y = 1/4(0) + 8 = 0 + 8 = 8
For x = 4, y = 1/4(4) + 8 = 1 + 8 = 9
Now, let's plot the points (0, 2) and (4, 4) for the equation y = 1/2x + 2, and the points (0, 8) and (4, 9) for the equation y = 1/4x + 8 on the same coordinate plane:
Plot (0, 2), (4, 4), (0, 8), and (4, 9) on the graph.
Now we can see that the lines representing y = 1/2x + 2 and y = 1/4x + 8 intersect at the point (4, 4).
Therefore, the solution to the system of equations y = 1/2x + 2 and y = 1/4x + 8 is (4, 4).
plot y=-1/4x+8 using 2 points
To plot the equation y = -1/4x + 8 using two points, let's choose two distinct x-values and calculate the corresponding y-values.
Choosing x = 0:
y = -1/4(0) + 8 = 0 + 8 = 8
Choosing x = 4:
y = -1/4(4) + 8 = -1 + 8 = 7
Plot the points (0, 8) and (4, 7) on the coordinate plane and draw a straight line passing through these two points.
Here is the graph of y = -1/4x + 8:
```
|
9 |
|
8 | *
|
7 | *
|
6 |
-------|---------------
|
0 |
|
|
|
-----------------------
0 4
```
The line passing through the points (0, 8) and (4, 7) represents the graph of y = -1/4x + 8.