Final answer:
By substituting the values into the linear equation y = mx + b, we find that y equals 9 when m is 2, x is 6, and b is negative 3.
Step-by-step explanation:
To find the value of y using the equation y = mx + b when given the values m = 2, x = 6, and b = negative 3, we simply substitute these values into the equation. This will look like: y = (2)(6) + (-3).
Following the order of operations, we first multiply the slope m, which is 2, by the value of x, which is 6. That gives us 12. Then, we add the y-intercept b, which is -3, to this result. The calculation will be as follows:
Therefore, the value of y is 9 when m = 2, x = 6, and b = -3.