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juin [17]
3 years ago
8

Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

y = -1/7 x + 16/7

Step-by-step explanation:

Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)

Given the point (2,2) and (-5,3). The standard form of an equation passing through the points is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope

m = y2-y1/x2-x1

m = 3-2/-5-2

m = 1/-7

m = -1/7

Get the intercept. Substitute m = -1/7 and one of the point (2,2) into the expression y = mx+c

2 = -1/7(2) + c

2 = -2/7 + c

c = 2 + 2/7

c = (14+2)/7

c = 16/7

Substitute m = -1/7 and c = 16/7 into the expression y = mx+c

y = -1/7 x + 16/7

Hence the required equation is y = -1/7 x + 16/7

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4. Which property of operations is used to write 15x + 9 as 9 + 15x?
suter [353]

Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.

8 0
3 years ago
Blake said 4/5+1/3 =5/8 does his answer make sense explain. please help
Tatiana [17]
Hey there!

The answer is no because whenever you add or subtract fractions, you find the common denominator(the bottom of the fraction)

Corret way:
The common denominator is 15 (5*3)
Multiply numerator(top) and the denominator by 3 
4/5*3*3= 12/15
Multiply numerator and the denominator by 5
1/3*5/5= 5/15
So the equation is now
12/15+5/15= 17/15 or 1 2/15

Hope this helps! :)
7 0
3 years ago
The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50.
Vinvika [58]

Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m  

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

6 0
3 years ago
Find the solution set of the system of equations below y=1/2x-1 and x+y=4
DerKrebs [107]
I hope this helps you

4 0
3 years ago
Find the distance between the following points: (0,0,0) and (-2,6,3)
marusya05 [52]

9514 1404 393

Answer:

  3.  7

Step-by-step explanation:

The distance formula applies in 3 dimensions as well as 2.

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

  d = √((-2)² +6² +3²) = √(4 +36 +9) = √49

  d = 7

The distance between the two points is 7 units.

6 0
2 years ago
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