Two points A (-2, 9) and B (4, 8) lie on a line l. Find the distance b

1.	Two points A (-2, 9) and B (4, 8) lie on a line l. Find the distance between points A and B.
Answer» Given: Two points: A(-2, 9) B (4, 8) These points lie on a straight line. To FIND: Distance between the two points = ? i.e. AB = ? Solution: We can use Distance formula to find the distance between two points on a line. Distance formula is given as: $D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ D is the distance between the two points whose coordinates are $(x_1, y_1)$ and $(x_2, y_2)$ . Here, the points are A and B which have the following values: $x_1 = -2\\x_2 = 4\\y_1 = 9\\y_2 = 8$ Now, USING the formula: $AB = \sqrt{(4-(-2))^2+(8-9)^2}\\\Rightarrow AB = \sqrt{(6)^2+(-1)^2}\\\Rightarrow AB = \sqrt{36+1}\\\Rightarrow AB = \sqrt{37}\ units$ So, the distance between the points A and B is $\sqrt{37}\ units$ .