Question

Find the initial value of the linear function, given that the rate of change is m=-4/7 and (14,3) is an (x,y) value of the lineaer function

Answer 1

The rate of change of a linear function is represented by the slope, which is given as m = -4/7.

To find the initial value of the linear function, we need to use the point-slope form of a linear equation:

y - y1 = m(x - x1)

We are given the point (14,3), so we can substitute x1 = 14 and y1 = 3 into the equation:

y - 3 = (-4/7)(x - 14)

Simplify the equation:

y - 3 = (-4/7)x + 8

Rearrange the equation to isolate y:

y = (-4/7)x + 8 + 3
y = (-4/7)x + 11

The initial value of the linear function is the y-intercept, which is 11.

Therefore, the initial value of the linear function is 11.