Find the initial value of the linear function, given that the rate of change is m = - 7, and (14, 3) is an (x, y) value of the linear
function. (1 point)
06=15.71
0 6=-5
0 b=11
06=12,29
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To find the initial value of the linear function, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (14, 3) and m is the rate of change (-7).
Plugging in the values, we get:
y - 3 = -7(x - 14)
y - 3 = -7x + 98
y = -7x + 101
Comparing this equation with the standard form of a linear equation y = mx + b, we see that the initial value (y-intercept) is b = 101.
Therefore, the initial value of the linear function is 101.