contestada

Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).

Respuesta :

Answer:

We conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

  • [tex]y=-3x+43[/tex]

The graph of the line is also attached.

Step-by-step explanation:

Given

  • The slope of the line = m = -3
  • The point = (13, 4)

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 (13, 4)

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

[tex]y - 4 = -3(x-13)[/tex]

Add 4 to both sides

[tex]y-4+4=-3\left(x-13\right)+4[/tex]

Simplify

[tex]y=-3x+43[/tex]

Therefore, we conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

  • [tex]y=-3x+43[/tex]

The graph of the line is also attached.

Ver imagen absor201