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Gnoma [55]
2 years ago
10

PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
just olya [345]2 years ago
3 0

                                                           Part A)

Given

  • Slope m = 6
  • Point (7, 2)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = 6
  • (x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = 6(x-7)

Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

y - 2 = 6(x-7)

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = -3
  • (x₁, y₁) = (3, 8)

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 8 = -3(x-3)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

y - 8 = -3(x-3)        

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Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

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so the system of equations become

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solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

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-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

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