Question 590463
find the distance and slope of (-5,2),(7,8)
:
The slope formula: m = {{{(y2-y1)/(x2-x1)}}}
Assign the values as follows
x1=-5; y1=2
x2=7; y2=8
:
m = {{{(8-2)/(7-(-5))}}}
which is:
m = {{{(8-2)/(7+5)}}} = {{{6/12}}} reduces to {{{1/2}}} is the slope
:
The distance formula: d = {{{sqrt((x2-x1)^2+(y2-y1)^2)}}}
so we have:
d = {{{sqrt((7-(-5))^2+(8-2)^2)}}}
d = {{{sqrt((12)^2+(6)^2)}}}
d = {{{sqrt(144+36)}}}
d = {{{sqrt(180)}}}
d = 13.416 is the distance between these two points