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3 years ago

What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

y=2/3x+5

Step-by-step explanation:

Parallel lines share the same slope so we already know the slope: 2/3.

Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.

To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.

7=2+b

5=b

Now we can put all the information we have together.

y=2/3x+5

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A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is label

JulijaS [17]

The growth factor of the exponential function represented by the table is 5.

The correct option is c.

<h3>What is the growth factor of the exponential function?</h3>

The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).

The growth factor of the exponential function is given by;

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\\$

As per given, we have a table;

x y

-2 0.004

-1 0.02

0 0.1

1 0.5

The value $\rm x_2$ is -2 and $\rm x_1$ is -1.

Therefore,

the growth factor of the exponential function represented by the table would be :

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\ \rm Growth\ factor=\dfrac{y(-1)}{y(-2)}\\\\\rm Growth\ factor=\dfrac{0.02}{0.004}\\\\ \rm Growth\ factor=5$

Hence, the growth factor of the exponential function represented by the table is 5.

To know more about the Growth factor click the link given below.

brainly.com/question/985668

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