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3 years ago

12

A line passes through the point (0, –1) and has a slope of -2/3 What is the equation of the line?

1 answer:

Troyanec [42]3 years ago

6 0

The slope formula:
$y=mx+b$
m - a slopeb - y-intercept
We have:
$m=-\dfrac{2}{3}$ and point $(0;-1)\to b=-1$
Substitute:
$y=-\dfrac{2}{3}x-1$
Answer: A.

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liubo4ka [24]

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3 years ago

What is the solution to the equation?

Zielflug [23.3K]

Answer:

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4 0

2 years ago

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

2 years ago

I think I got the answer but I need someone to help

GuDViN [60]

That’s a hard one for sure but I would say six

3 0

2 years ago