angel0616
angel0616 angel0616
  • 13-07-2021
  • Mathematics
contestada

A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form

A line passes through the points82 and 103 What is its equation in slope intercept form class=

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jessmzhou4
jessmzhou4 jessmzhou4
  • 13-07-2021

Answer: y =  ½x - 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

  • m = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}[/tex]
  • b = y-intercept ⇒ Substitute in a given point to the function to find b

y =  ½x + b

2 =  ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

y =  ½x - 2

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