Help please !

Write a rule to describe the function shown.

x y

−3 9

−1 3

0 0

3 −9

y = 3x

y = −3x

y equals start fraction one over three end fraction x

y equals negative start fraction one over three end fraction x

Question 2 (Multiple Choice Worth 5 points)

(04.03 MC)

What is the slope of the line joining (10, 9) and (40, 3)?

−5

−4

negative start fraction one over five end fraction

start fraction one over five end fraction

Question

Answered

Verified Answer :

DelcieRiveria DelcieRiveria · Answer 1 · 2018-12-26T06:21:47-05:00

Answer:

(1) Required function is \(y=-3x\) . (2) Slope of line is \(-\frac{1}{5}\) .

Step-by-step explanation:

1)

The function passing through (-3,9), (-1,3), (0,0) and (3,-9).

From these points it is noticed that the value of function decrease by 6 if the value of x increases by 2 and y-intercept is (0,0).

\(m=\frac{\text{change in y}}{\text{change in x}}=\frac{-6}{2}=-3\)

Slope intercept of a line is

\(y=mx+b\)

Where, m is slope and b is y-intercept.

So, function is defined as

\(y=-3x+0\)

\(y=-3x\)

The required function is \(y=-3x\) .

2)

It is given that the line joining two points (10, 9) and (40, 3).

Slope of line is

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{3-9}{40-10}=\frac{-6}{30}=-\frac{1}{5}\)

Therefore slope of line is \(-\frac{1}{5}\) .