Krishna
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Step 1: find the line equation or y-coordinate  

            Skill 1: Substitute either values slope(m) and any one point into the  

            equation of a straight line.

                        FORMULA: Equation of a straight line

                         y - y_1 = m(x - x_1). Where m = slope,

                         (x_1, y_1) = any point


                        EXAMPLE: I took (2, 5) as a point and m=\frac{-1}{2}

                                           y-5=\frac{-1}{2}\left(x-2\right)

                                         y = \frac{-x}{2} + 6


Step 2: Locate the coordinates of the end points.

           EXAMPLE: The two endpoints M (2, 5) and N (x = p , y = \frac{-x}{2} + 6 ).

            Therefore, (x_1, y_1) = (2, 5) and (x_2, y_2) = (x = p , y = \frac{-x}{2} + 6 ).

Step 3: Plug the corresponding coordinates into the Distance Formula. .


            FORMULA:

          d = \sqrt{(x_2 - x_2)^2 + (y_2 -y_1)^2}


          EXAMPLE: Endpoints M (2, 1) and N (6, 4).

         d = \sqrt{(6 - 2)^2 + (4 - 1)^2}


Step 4: Substitute the d(given distance) value in the equation got in step 3 and simplify the equation

           NOTE:  Simplification steps:  Calculate the subtraction in parentheses.

                         Square   the value in parentheses.

                         Add the numbers under the radical sign.

Step 5: Compare the salved equation with the given equation and verify they are satisfying or not