Find the initial value of the linear function, given that the rate of change is m=−47 , and (14,3) is an (x,y) value of the linear function.(1 point)
Responses
b=11
b equals 11
b=15.71
b equals 15.71
b=−5
b equals negative 5
b=12.29
To find the initial value (b) of the linear function, we can use the slope-intercept form of a linear equation: y = mx + b.
Given that the rate of change (m) is -47 and (14,3) is a point on the line, we can substitute these values into the equation:
3 = -47(14) + b
Now we can solve for b:
3 = -658 + b
b = 3 + 658
b = 661
Therefore, the initial value (b) of the linear function is 661.