Answer:
To plot the equation y = -2/3x + 8, we can follow these steps:
Explanation:
AI-generated answer
To plot the equation y = -2/3x + 8, we can follow these steps:
1. Start by choosing a range of values for x that you want to plot. For example, you can choose x-values from -10 to 10.
2. Plug in each x-value into the equation to find the corresponding y-value.
3. Plot the points (x, y) on a graph, using the x-values on the x-axis and the y-values on the y-axis.
4. Connect the plotted points with a straight line.
Using the equation y = -2/3x + 8, let's calculate a few points and plot them:
When x = -3:
y = (-2/3)(-3) + 8
y = 2 + 8
y = 10
So one point on the graph is (-3, 10).
When x = 0:
y = (-2/3)(0) + 8
y = 8
So another point on the graph is (0, 8).
When x = 3:
y = (-2/3)(3) + 8
y = -2 + 8
y = 6
So another point on the graph is (3, 6).
Now, plot these points on a graph and connect them with a straight line. The line should slope downward from left to right.
Note: Make sure to choose additional x-values and calculate corresponding y-values to get more points for a more accurate plot.