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2 years ago

Write an equation of the line that passes through the points (-3,-9) and (5,-9)

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

8 0

Answer:

slope of a line m : 0

Equation of line : y=- 9

Step-by-step explanation:

P1 : (X1 , Y1 ) (-3 , -9)

P2 : (X2 , Y2) (5 , -9)

Slope of line (m) is caculated as ,

m = ( y2-y1)/(x2 - x1)

m = (-9 - (-9))/(5 - (-3))

m = 0

equation of line : y = mx+b

using P1 (-3 , -9)

= > (-9) = (0)(-3) + b

= > -9 = b

hence b = -9

equation of Line is

y = -9

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2 years ago

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2 years ago

Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

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Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
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