Find the equation of the line passing through the points A (2,1) B (7,9)

1 answer:

7 0

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 1}{7 - 2} = \frac{8}{5} = 1\frac{3}{5}$
      y - y₁ = m(x - x₁)
       y - 1 = 1³/₅(x - 2) Point - Slope Form
       y - 1 = 1³/₅(x) - 1³/₅(2)
       y - 1 = 1³/₅x - 3¹/₅
       + 1    + 1
              y = 1³/₅x - 2¹/₅ Slope - Intercept Form
   -1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
      -1³/₅x - y = -2¹/₅
   -1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
   1³/₅x - y = 2¹/₅ Standard Form
       1³/₅(0) - y = 2¹/₅
      0 - y = 2¹/₅
      -y = 2¹/₅
      -1    -1
   y = -2¹/₅ Y - Intercept
   (x, y) = (0, -2¹/₅)

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See attachment

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