Question

any ways to remember the distance, midpoint and gradient formulas?

Answer 1

A(x1,y1) and B(x2,y2)
Distance, sqrt((x2-x1)^2+(y2-y1)^2)
Midpoint ((x1+x2)/2,(y1+y2)/2)
Gradient (y2-y1)/(x2-x1)

Source: http://www.mathskey.com/question2answer

Answer 2

yes... its easy

1. plot the points.... so (2, 3) and (7, 4)

create a right triangle and put the side measures on



slope = rise/run so m = 1/5

distance, use pythagoras 1^2 + 5^2 = d^2

midpoint find half the side lengths...

x: 5/2 y 1/2

so count on 2 1/2 from the lower value 2 x = 4 1/5

count on 1/2 from lower value 3 y = 3 1/2

so the midpoint is (4 1/2, 3 1/2)

no formula's to remember....

the only thing you need to know



hope it helps