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wolverine [178]
2 years ago
10

Find the equation of the line through the points (6, -9) and (-2, -1).

Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

y = -1x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-9) / -2 - 6

8/-8

= -1

y = -1x + b

-1 = -1(-2) + b

-1 = 2 + b

-3 = b

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The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below:
jolli1 [7]
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

Step 2: 10y – 4 = 12 + 6y

I hope this helps!
8 0
3 years ago
What is the area of this triangle?
ki77a [65]

Answer:

The area of this triangle is.. 30 in^2

Step-by-step explanation:

6 x 10 divided by 2 = 30

3 0
3 years ago
Read 2 more answers
Which equation represents the line that passes through (–8, 11) and (4,7/2 )? A. y =-5/8x + 6 B. y =-5/8 x + 16 C. y = -15/2x –
Dafna11 [192]
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71

4 0
3 years ago
Y=2/3x+3,2x-3y=8 determine whether perpendicular or parallel
Studentka2010 [4]
<span>Y=2/3x+3 so slope = 2/3

</span><span>2x-3y=8
3y = 2x - 8
y =  2/3x - 8/3 so slope = 2/3

both equations have same slope = 2/3

so answer:   </span><span>parallel</span>
6 0
3 years ago
Is writing a 3 before a square root symbol the same as writing it after a square root symbol?
attashe74 [19]
This depends as to whether you are just multiplying the square root by 3, or are doing a cube root function. In a cube root, the 3 would be located just at the bent part of the square root symbol, usually in a smaller font. If one just wanted to multiply a square root by 3, it does not matter whether or not the 3 comes before or after the root. 

A cube root is equal to a value to the power of (1/3).

I hope this helps
4 0
3 years ago
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