what’s the distance between point L (3,5) and point M (7,9)

Answer 1

The points given are

(3,5) and (7,9)

x1 = 3 , y1 = 5

x2 = 7 and y2 = 9

Distance between the points is

d = √((x1 - x2)² +( y1-y2)² )

so d = √(( (3 -7)² + (5 - 9 )² )

= √ ( 16 +16) = √32 = 5.656

Units of d will be the same as units of x1,y, x2 and y2 ( scale chosen for the coordinates of these two points)

Answer 2

difference in y values squared= 4^2 = 16

difference in x values squared = 16

sum = 32

square root of 32 = 4sqr2 = 4(1.414) = about 5.7

distance formula is d^2 = (x1-x2)^2 + (y1-y2)^2

the distance between 2 points is the hypotenuse of a right triangle, where the other 2 sides are the difference in the x values and the difference in the y values