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Oksi-84 [34.3K]
3 years ago
11

Graph ​y+6=45(x+3)​ using the point and slope given in the equation. Use the line tool and select two points on the line.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

We are given the equation y+6 = 45(x+3).

On simplifying the equation we get,

y+6 = 45x + 45×3

i.e. y+6 = 45x + 135

i.e. y = 45x + 129.

Now, x = 0 gives y = 129 and y = 0 gives x = -2.867.

The general form of a straight line is given by y = mx + c, where m is the slope and c is the y-intercept.

So, on comparing, the slope of given equation is m = 45.

Plotting this straight line y = 45x + 129 on the graph gives the following figure.

The two points selected on the graph are (0,129) and (-2.867,0).

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Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic O
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c. 61.25 kg

Step-by-step explanation:

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.

a. 15.31 kg

b. 51.40 kg

c. 61.25 kg

d. 80.49 kg

Margin of Error Formula= z × Standard deviation/√n

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6 0
3 years ago
What I the equation in standard form of the line that passes through the points(4,-8) and has a slope of 1/4
valentinak56 [21]

Answer:

Standard form of the line with point (4,-8) and slope of 1/4  is

-x + 4 y = -36.

Step-by-step explanation:

The slope of the line equation = 1/4

The point is given as (4,-8).

Now, by POINT SLOPE formula,

The line equation  with slope m  nad point (x0,y0) is given as:

(y - y0)  = m (x -x0)

So, the line equation here is given as

y -(-8)  =  \frac{1}{4} (x -4)\\\implies 4(y + 8)  = x - 4\\4 y + 32 = x - 4\\4y = x - 36

Now, the standard form of line equation is Ax + By  = C

Here,  4y = x - 36   ⇒  4y - x = -36

or, -x + 4y = -36 is the standard form.

Hence,standard form of the line with point (4,-8) and slope of 1/4

is -x + 4y = -36.

3 0
4 years ago
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