onealgillian9
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PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!
A. Find an equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in​ point-slope form for the line having the slope m=-3 and containing the point ​(​3,8​).

Respuesta :

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                                                           Part A)

Given

  • Slope m = 6
  • Point (7, 2)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

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

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 2 = 6(x-7)[/tex]

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

[tex]y - 2 = 6(x-7)[/tex]

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

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

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 8 = -3(x-3)[/tex]

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

[tex]y - 8 = -3(x-3)[/tex]        

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