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Galina-37 [17]
4 years ago
8

What is the equation of the line that passes through the point (6, -1) and has a slope of 1?

Mathematics
2 answers:
Bogdan [553]4 years ago
6 0

Answer:

y= x -7

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.

Given that the slope is 1, m= 1.

Substitute the value of m into the equation:

y= 1x +c

y= x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= -1,

-1= 6 +c

c= -1 -6 <em>(</em><em>-6</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

c= -7

Thus, the equation of the line is y= x -7.

mixas84 [53]4 years ago
3 0

Answer:

y = x – 7

Step-by-step explanation:

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Solve for k: -2k = k - 7 - 8 and explain in number form
Kamila [148]

Answer:

k = 5

Step-by-step explanation:

-2k = k - 7 - 8

Combine like terms

-2k = k - 15

add 15 to both sides

-2k + 15 = k

Add 2k to both sides

15 = 3k

Divide both sides by 3

k=5

Hope this helps!

7 0
3 years ago
In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad
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The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
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3 years ago
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Which net represents the pyramid with the greatest surface area ​
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the top one that's orange

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3 years ago
if y represents total earnings in dollars and x represents hours worked, then which equation models the wages of someone who mak
Klio2033 [76]

Answer: y=11.50x

Step-by-step explanation:

1. You have the following information given in the problem above:

-  y represents total earnings in dollars .

- x represents hours worked.

2. Keeping on mind that the expression must model the wages of someone who makes $11.50 in an hour, this amount of money per hour must multiply the hours worked, which is represented by x.

3. Therefore, you can write the following equation:

y=11.50x

5 0
3 years ago
You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? 3x-2y=7 equati
svetlana [45]

Answer:

x = 31/9 and y = 5/3

Step-by-step explanation:

It is given that,

3x - 2y = 7  -----(1)

3x + 4y = 17 ----(2)

<u>To find the solution by elimination method</u>

Step 1: Subtract eq(2) from eq(1)

3x - 2y = 7  -----(1)

<u> 3x + 4y = 17 </u>----(2)

0  - 6y = -10

6y = 10

y = 10/6 = 5/3

Step 2: Substitute the value of y in eq (1)

  3x - 2y = 7  -----(1)

  3x  - 2*(5/3) = 7

  3x = 7 + 10/3

  3x = 31/3

   x = 31/9

Therefore x = 31/9 and y = 5/3

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3 years ago
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