Question

find the equation of the line that passes through points a and b

a = (4,7)
b =(2,3)

Answer 1

Answer:

2x-y=1. See the attachment.

Answer 2

The equation of the line is "$2x-y=1$"

Given points are:

• $(4,7) = (x_1, y_1)$
• $(2,3) = (x_2,y_2)$

The slope of the line will be:

→ $m = \frac{y_2-y_1}{x_2-x_1}$

       $= \frac{3-7}{2-4}$

       $= \frac{-4}{-2}$

       $= 2$

hence,

The equation of the line will be:

→ $(y-y_1) = m(x-x_1)$

      $y - 7 = 2(x-4)$

      $y-7=2x-8$

            $y = 2x-8+7$

            $y=2x-1$

    $2x-y=1$

Thus the above answer is right.

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