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Ganezh [65]
3 years ago
6

Complete the equation of the line through (2, -2) and (4,1)

Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

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Effectus [21]

h = 5b - 2

\frac 1 2 b h= 36

b(5b - 2) = 72

5b^2 - 2b - 72 = 0

(b - 4)(5b + 18) = 0

b = 4 \textrm{ or }b = -18/5

We can rule out the negative length.

h = 72/b = 72/4 = 18

Answer: b=4, h=18


3 0
3 years ago
Read 2 more answers
Whats the correct answer ?
11Alexandr11 [23.1K]

Answer:

$80, $48

Step-by-step explanation:

The original price was x.

The price is reduced by 40%. The markdown is 40% of x, or 0.4x.

The actual dollar amount of the markdown is $32.

That means that 0.4x must equal $32.

We set up an equation and solve for x, the original price.

0.4x = 32

Divide both sides by 0.4

x = 32/0.4

x = 80

The original price is $80.

The markdown is $32.

$80 - $32 = $48

The marked down price is $48.

Answer: $80, $48

3 0
3 years ago
The bar graph below shows the student's favorite ice cream flavors. a) Use the graph's lines as a ruler to draw the intervals on
PtichkaEL [24]
Butter pecan: 25
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The dotted line between 20 and 30 (butter pecan) will be nothing more than anything including 5. In this case, it is 25 counting up to 30.
The solid lines directly leading to a number will be that number, for instance, chocolate is 50.
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3 years ago
Need your help asap trying to get 100%
marta [7]

Answer:

if he sells 12 every 8 months, supposing the trend continues, in 34 months he’ll sell...

12(properties) = 8 months

12/8 = 1 month

1 month = 1.5(properties)

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4 0
4 years ago
A- 13<br> B- 130<br> C- 43<br> D- 10
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7x + 9 + 3x + 4 = 143

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10x = 130

x = 13/10

x = 13  answer

4 0
3 years ago
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