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.
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
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