Respuesta :

Hrishii

Answer:

[tex]y=5x-2[/tex]

or

[tex]5x-y-2=0[/tex]

Step-by-step explanation:

  • Line is passing through the point (-1, -7)

  • [tex]\implies x_1 = -1,\: y_1=-7[/tex]

  • Slope of line (m) = 5

  • Equation of line in point-slope form is given as: [tex] y- y_1=m(x-x_1)[/tex]

  • Substituting the values of [tex]\implies x_1,\: y_1\: \&\: m [/tex] in the above equation, we find:

  • [tex] y- (-7)=5[x-(-1)][/tex]

  • [tex]\implies y+7=5[x+1][/tex]

  • [tex]\implies y+7=5x+5[/tex]

  • [tex]\implies y=5x+5-7[/tex]

  • [tex]\implies y=5x-2[/tex]

  • [tex]\implies 5x-y-2=0[/tex]

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