Plot the six solutions to the equation y=60x+20
The equation y = 60x + 20 represents a linear relationship between two variables, where x is the independent variable and y is the dependent variable. To plot the six solutions to this equation, we need to assign specific values to x and calculate the corresponding values of y.
Using x = -2, -1, 0, 1, 2, and 3, we can find the corresponding values of y by substituting these values into the equation.
For x = -2:
y = 60(-2) + 20
y = -120 + 20
y = -100
For x = -1:
y = 60(-1) + 20
y = -60 + 20
y = -40
For x = 0:
y = 60(0) + 20
y = 0 + 20
y = 20
For x = 1:
y = 60(1) + 20
y = 60 + 20
y = 80
For x = 2:
y = 60(2) + 20
y = 120 + 20
y = 140
For x = 3:
y = 60(3) + 20
y = 180 + 20
y = 200
The six solutions to the equation y = 60x + 20 are (-2, -100), (-1, -40), (0, 20), (1, 80), (2, 140), and (3, 200). We can now plot these points on a graph.
To plot the equation y = 60x + 20, we need to find six solutions by choosing different values for x and then calculating the corresponding values for y. Here are six possible solutions:
Solution 1:
Let x = 0
y = 60(0) + 20
y = 20
So, the first solution is (0, 20).
Solution 2:
Let x = 1
y = 60(1) + 20
y = 80
So, the second solution is (1, 80).
Solution 3:
Let x = -1
y = 60(-1) + 20
y = -40
So, the third solution is (-1, -40).
Solution 4:
Let x = 2
y = 60(2) + 20
y = 140
So, the fourth solution is (2, 140).
Solution 5:
Let x = -2
y = 60(-2) + 20
y = -80
So, the fifth solution is (-2, -80).
Solution 6:
Let x = 3
y = 60(3) + 20
y = 200
So, the sixth solution is (3, 200).
Now, we can plot these six solutions on a Cartesian plane to visualize the line represented by the equation y = 60x + 20.
To plot the solutions to the equation y = 60x + 20, we need to find specific values for x and calculate the corresponding y values.
Let's choose six different values for x and then calculate the corresponding y values using the equation.
1. Substitute x = 0 into the equation:
y = 60(0) + 20 = 0 + 20 = 20
So, the first point is (0, 20).
2. Substitute x = 1 into the equation:
y = 60(1) + 20 = 60 + 20 = 80
The second point is (1, 80).
3. Substitute x = -1 into the equation:
y = 60(-1) + 20 = -60 + 20 = -40
The third point is (-1, -40).
4. Substitute x = 2 into the equation:
y = 60(2) + 20 = 120 + 20 = 140
The fourth point is (2, 140).
5. Substitute x = -2 into the equation:
y = 60(-2) + 20 = -120 + 20 = -100
The fifth point is (-2, -100).
6. Substitute x = 3 into the equation:
y = 60(3) + 20 = 180 + 20 = 200
The sixth point is (3, 200).
Now that we have calculated the y values for these six different x values, we can plot the points on a graph and connect them.
The points we found are:
(0, 20),
(1, 80),
(-1, -40),
(2, 140),
(-2, -100),
(3, 200).
Plotting these points on a graph will give us the plot of the solutions to the equation y = 60x + 20.