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 linear function.

a. b=12.29
b. b=15.71
c. b=11
d. b=-5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the initial value (y-intercept) of the linear function, we can use the slope-intercept form of a linear equation: y = mx + b.

We are given that the rate of change (slope), m, is -4/7. Therefore, we know the equation is in the form y = (-4/7)x + b.

To find the value of b, we can substitute the given x and y values into the equation and solve for b.
Using the point (14,3), we have:
3 = (-4/7)(14) + b
3 = -8 + b
b = 11

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

So, the correct answer is c. b = 11.