Brixig Brixig
  • 22-06-2021
  • Mathematics
contestada

Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).

Find the equation of the line parallel to y 23x7 passing through A61 class=

Respuesta :

aklee18oo
aklee18oo aklee18oo
  • 22-06-2021

Answer:

y = 2/3x - 5

Step-by-step explanation:

If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:

y + 1 = 2/3 (x - 6)

y + 1 = 2/3x - 4

y = 2/3x - 5

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