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2 years ago

What is an equation of the line that passes through the points (3,4) and (5,8)

Mathematics

2 answers:

algol [13]2 years ago

6 0

Answer:

i think 5

Step-by-step explanation:

Delicious77 [7]2 years ago

6 0

Step-by-step explanation:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.

First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

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2 years ago

Read 2 more answers

One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

$\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}$

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0

1 year ago

I have no clue what the answer is

spin [16.1K]

Answer:

Second option is the correct answer.

Step-by-step explanation:

$\frac{2}{3} x - 5 > 3 \\ \\ \frac{2}{3} x > 5 + 3\\ \\ \frac{2}{3} x > 8 \\ \\ x > 8 \times \frac{3}{2} \\ \\ x > 12$

7 0

2 years ago