noahgiomoe noahgiomoe
  • 20-02-2019
  • Mathematics
contestada

Write an equation for the line that passes through the point ( - 6 , 3 ) and has a slope of 8 .

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sqdancefan
sqdancefan sqdancefan
  • 20-02-2019

Answer:

  y - 3 = 8(x + 6)

Step-by-step explanation:

When given a point and slope, it is convenient to use the point-slope form of the equation of a line. For slope m and point (h, k), that equation is ...

  y -k = m(x -h)

For your given slope of 8 and point (-6, 3), the equation is ...

  y -3 = 8(x +6)

_____

If you like, you can change the form to match your preference.

  y = 8x +48 +3 . . . . add 3, eliminate parentheses

  y = 8x +51 . . . . . . . slope-intercept form

  8x -y = -51 . . . . . . . standard form

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