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Anuta_ua [19.1K]
3 years ago
11

Write the equation of the line that passes through the points (-7,-9) and (-3,-1)

Mathematics
2 answers:
zysi [14]3 years ago
3 0

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Dahasolnce [82]3 years ago
3 0

Answer:

y = 2x + 5

Step-by-step explanation:

For this example, I used the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

<h3>Finding m</h3>

The slope can be found with the formula:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}, where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2

<h3>Finding b</h3>

In order to find the y-intercept, we must substitute the slope back into the original equation:

y = 2x + b

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

-1 = 2(-3) + b\\-1 = -6 + b\\5 = b

<h3>Finding the equation</h3>

After this, all that must be done is to substitute the values for b and m back into the original equation.

y = 2x + 5

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

(-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9

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What do you think are some of the advantages and disadvantages of a capitalist economic system? Do you feel that the advantages
Tcecarenko [31]
Hello!

Advantages of a capitalist economic system:

• Economic growing and expansion.

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Disadvantages of a capitalist economic system:

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3 years ago
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

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t_1+t_2 = \bold{8\ hrs}

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