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

initial value=2

Explanation:

equation of line,

y-
`y_1`=
`(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=
`(7-3)/(2-0)`(x-0)

y-3=2x

y=2x+3

rate of change of linear equation=
`(\partial (2x+3))/(\partial x)`

`(\partial y)/(\partial x)`=2

hence, initial value=2 answer