Question 1-10 Two points are shown. W(1,4),Z(7,-8) What is the approximate distance between point W and point Z? 7.2 units 13.4 units 26 .0 units 90 .0 units

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is given by:<br /><br />\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]<br /><br />where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points.<br /><br />In this case, the coordinates of point W are \( (1, 4) \) and the coordinates of point Z are \( (7, -8) \).<br /><br />Plugging these values into the distance formula, we get:<br /><br />\[ d = \sqrt{(7 - 1)^2 + (-8 - 4)^2} \]<br />\[ d = \sqrt{6^2 + (-12)^2} \]<br />\[ d = \sqrt{36 + 144} \]<br />\[ d = \sqrt{180} \]<br />\[ d \approx 13.4 \]<br /><br />Therefore, the approximate distance between point W and point Z is 13.4 units.