The coordinates of the point O are (3,−5) and the coordinates of point P are (8,−5). What is the distance, in units, between the point O and point P ?Answer: □ units
Q. The coordinates of the point O are (3,−5) and the coordinates of point P are (8,−5). What is the distance, in units, between the point O and point P ?Answer: □ units
Identify formula: Identify the formula to calculate the distance between two points in a coordinate plane.The distance between two points (x1,y1) and (x2,y2) in a coordinate plane is given by the formula:Distance = ((x2−x1)2+(y2−y1)2)
Plug in coordinates: Plug in the coordinates of points O and P into the distance formula.For point O, we have (x1,y1)=(3,−5) and for point P, we have (x2,y2)=(8,−5).Distance = ((8−3)2+(−5−(−5))2)
Simplify expression: Simplify the expression inside the square root.Calculate the difference between the x-coordinates: 8−3=5Calculate the difference between the y-coordinates: −5−(−5)=0Distance = (52+02)
Calculate squares and add: Calculate the squares of the differences and add them.52=2502=0Distance = 25+0