Identify the equation of the linear function through the points (- 2,- 7) and (1,2). Then state the rate of change of the

Question

3 years ago

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function. What is the equation of the linear function? A. y = 3x - 1 B. y = - 3x - 1 C. y = 3x + 1 D. y = -3x + 1 The rate of change is ( ? ).

1 answer:

Ganezh [65] · Answer 1 · 2022-07-03T02:34:49+03:00

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

$\frac{y - ( - 7)}{- 7 - 2} = \frac{x - (- 2)}{- 2 - 1}$

⇒ (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 $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by

$\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}$

Identify the equation of the linear function through the points ​(- 2​,- 7​) and ​(1​,2​). Then state the rate of change of the