Final answer:
The linear equation for the given values m = 1/2 and b = 8/3 is y = (1/2)x + (8/3), where m represents the slope and b represents the y-intercept.
Step-by-step explanation:
If m = 1/2 and b = 8/3, the linear equation that represents this data is y = mx + b. Since we are given the values of m (the slope) and b (the y-intercept), we can simply substitute them into this equation. Therefore, substituting the given values, the linear equation is y = (1/2)x + (8/3).
The slope m is defined to be the rise divided by the run of the straight line. The y-intercept b is the point at which the line crosses the vertical axis. Using this linear equation, we can graph the line on a coordinate plane or create a table of values by plugging in different x values to find the corresponding y values.