The ordered pairs shown in the table are generated by the function g(x).
x 1,3,4, g(x) -5,-13,-21,
The function g(x) can be represented by the equation g(x)=ax +b . Enter the value for a and the value for b in the equation .g(x)=ax +b
a =
Math Equation Response Question
$$
b =
Math Equation Response Question
$$
To find the values of a and b, we can use the given points from the table.
From the points (1, -5) and (3, -13), we can set up a system of equations:
-5 = a(1) + b
-13 = a(3) + b
Solving this system of equations, we get:
a = -4
b = 1
Therefore, the function g(x) can be represented as g(x) = -4x + 1.