Answer:
y = 3x - 1
The rate of change of the function is 3.
Step-by-step explanation:
The equation of the linear function through the points (- 2, - 7)and (1,2) will be given by
[tex]\frac{y - ( - 7)}{- 7 - 2} = \frac{x - (- 2)}{- 2 - 1}[/tex]
⇒ (y + 7) = 3(x + 2)
⇒ y = 3x - 1 (Answer)
Now, the rate of change of the function is the slope of the line i.e. 3. (Answer)
We know the equation of a straight line which passes through the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by
[tex]\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}[/tex]
