Final Answer:
The answer to the given question is option 'a', as f(−1, 3) = -15, thus the correct option is a.
Step-by-step explanation:
The given equation is f(x, y) = 2x − y 10. According to the question, the function is evaluated at the point (-1, 3). Substituting these values into the equation, we get f(-1, 3) = 2(-1) - 3*10 = -15. Therefore, the correct answer is option 'a', as f(−1, 3) = -15.
To further understand the answer, it is important to note that the equation given is known as a linear equation. Linear equations can be expressed in the form ax + by = c, where a, b and c are constants. To solve such equations, the values of the constants must be known. In this equation, a = 2, b = -10 and c = 0. By substituting the value of x and y, the value of the equation f(x, y) can be calculated.
The equation can also be graphed on a coordinate plane. This is done by plotting the points that satisfy the equation. As the equation is linear, it will form a straight line. By counting the number of units from the origin to the point (-1, 3), the value of f(x, y) at that point can be determined.
In conclusion, the answer to the given question is option 'a', as f(−1, 3) = -15. This can be calculated by substituting the values of x and y in the given equation, or by graphing the equation on a coordinate plane.