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For the straight line defined by the points (2,55) and (4,87), determine the slope (m) and y-intercept (b). Do not round the answers.

Respuesta :

sqdancefan

Answer:

  • m = 16
  • b = 23

Step-by-step explanation:

It is useful to start with the 2-point form of the equation for a line. For points (x1, y1) and (x2, y2), that equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) + y1

For the given points, the equation is ...

  y = (87 -55)/(4 -2)(x -2) + 55

  y = 16(x -2) +55

  y = 16x +23

Compare this to the slope-intercept form

  y = mx + b

and you see that the slope (m) is 16, and the intercept (b) is 23.

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