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.
b=11 b
b=−5
b=15.71
b=12.29
To find the initial value of the linear function, we can use the formula for a linear function in slope-intercept form:
y = mx + b
where m is the rate of change and b is the initial value.
Given that m = -4/7 and (14,3) is an (x,y) value of the linear function, we can substitute these values into the equation to solve for b.
3 = (-4/7)(14) + b
Multiplying -4/7 by 14, we get:
3 = -8 + b
Adding 8 to both sides:
11 = b
Therefore, the initial value of the linear function is b = 11.