Question

Using cable to answer the question x is one and minus 3 why is 4 and I find the rate of change and the initial value of the linear function given as the table or values the rate of change is m and the initial value is

Answer 1

To find the rate of change (m) and the initial value (b) of a linear function given a table or values, you can use the formula for a linear equation: y = mx + b.

Given the points (x1, y1) and (x2, y2) from the table or values, you can calculate the rate of change (m) as:

m = (y2 - y1) / (x2 - x1)

And the initial value (b) can be found by substituting one of the points into the equation. For example:

y1 = mx1 + b

Now you can substitute the values of x1, y1, and m into the equation to solve for b:

y1 = mx1 + b
y1 = m(x1) + b
b = y1 - mx1

Now that you have found the rate of change (m) and the initial value (b), you can write the linear function as:

y = mx + b

I hope this helps! Let me know if you need any further assistance.