grismarlin36 grismarlin36
  • 08-09-2020
  • Mathematics
contestada

Write in slope-intercept form the equation of the line containing the point (-1, 2) and parallel to the given line y = 2x + 4.

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 08-09-2020

Answer:

              y = 2x + 4

Step-by-step explanation:

[tex]P=(-1,\,2)\quad\implies\quad x_p=-1\,,\quad y_p=2[/tex]

The slope-intercept form the equation of the line:

y = mx + b

Two lines are parallel if they hav the same slope, so

m = 2   ⇒   y = 2x + b

The line goes through P so:  [tex]y_p=2x_p+b[/tex]

2 = 2(-1) + b

2 = -2 + b

b = 4

so it's the same line as given one:

                                                 y = 2x + 4

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