onealgillian9
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PLEASE HELP MEEEE 28 POINTS!!!!
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=-4 and containing the point ​(​1,9​).

Respuesta :

absor201

Answer:

Part A)

An equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

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

Part B)

An equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

Step-by-step explanation:

                                                        Part A)

Given

Slope m = 6

Point (7, 2)

To Determine

Find an equation in​ point-slope form for the line having the slope m = 6 and containing the 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 line equation

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

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

Therefore, an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

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

                                                       Part B)

Given

Slope m = -4

Point (1, 9)

To Determine

Find an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

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 = -4
  • (x₁, y₁) = (1, 9)

substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation

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

[tex]y - 9 = -4(x-1)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

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