Question

A relation is plotted as a linear function on the coordinate plane starting at point A (0, 3) and ending
at point B (2, 7)
What is the rate of change for the linear function and what is its initial value?
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Answer 1

Answer:

initial value=2

Step-by-step explanation:

equation of line,

y-$y_1$=$\frac{y_2-y_1}{x_2-x_1}$$(x-x_1)$..............(1)

put co ordinate (0,3) and (2,7) in the equation (1)

y-3=$\frac{7-3}{2-0}$(x-0)

y-3=2x

y=2x+3

rate of change of linear equation=$\frac{\partial (2x+3)}{\partial x}$

$\frac{\partial y}{\partial x}$=2

hence, initial value=2 answer