Respuesta :

Answer:

[tex]y+7=-\dfrac23(x-1)[/tex]

Step-by-step explanation:

Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

where:

  • [tex]m[/tex] = slope
  • [tex](x_1,y_1)[/tex] = point on the line

Given:

  • [tex]m=-\dfrac23[/tex]
  • [tex](x_1,y_1)=(1,-7)[/tex]

Substitute the given values into the formula:

[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]

[tex]\implies y+7=-\dfrac23(x-1)[/tex]