arha2017 arha2017
  • 03-07-2019
  • Mathematics
contestada

Find the equation in slope-intercept form that describes a line through (–1, 1) and (2, 3)

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sqdancefan
sqdancefan sqdancefan
  • 03-07-2019

Answer:

  y = 2/3x + 5/3

Step-by-step explanation:

The slope of the line is ...

  slope = (change in y)/(change in x) = (3-1)/(2-(-1)) = 2/3

Then the point-slope form of the desired line can be written ...

  y = m(x -h) +k . . . . . slope m through point (h, k)

  y = 2/3(x +1) +1 . . . . slope 2/3 through point (-1, 1)

  y = 2/3x + 5/3 . . . . . . simplify to slope-intercept form

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