a) We can pick any two values from the table then can subtract initial value from final value divide by the number of instance which will give us the rate of change.
b) Same with the graph, we take two coordinates and then apply in the formula:
slope (m) = y2-y1 / x2-x1
c) We can write the equation, by substituting into the formula:
y - y1 = m (x - x1)
Where y-interecpt & slope is most important
d) When, we completely solve the equation, then it gives y-intercept, and first value of the path in the graph is known as initial value
e) In linear interval, difference between any two instances must be same, 'cause they follow the rule of proportionality whereas in non-interval, differnce will be different in magnitude
Hope this helps!