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Make the following statement an equations (3,-3) m=3

Sagot :

absor201

Answer:

We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

  • [tex]y=3x-12[/tex]

The graph of the line is also attached.

Step-by-step explanation:

Given

  • The point (3,-3)
  • The slope m = 3

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

substituting the values m = 3 and the point (x₁, y₁) = (3,-3)

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

[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]

Apply rule: -(-a) = a

[tex]y+3=3\left(x-3\right)[/tex]

subtract 3 from both sides

[tex]y+3-3=3\left(x-3\right)-3[/tex]

simplify

[tex]y=3x-12[/tex]

Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

  • [tex]y=3x-12[/tex]

The graph of the line is also attached.

View image absor201
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