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antcobra
16.02.2020 •
Mathematics
P (2, 3) and Q (6, 10) are two points on the Cartesian plane.
Find the length of PQ
Find the coordinates of the midpoint of PQ
Find the equation of PQ
Solved
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Ответ:
Step-by-step explanation:
Given:
Let S be the mid-point of PQ.
Equation of line PQ is given as:
Ответ:
length = square root of ((2-6)^2)+((3-10)^2) = square root (of) 16+49
square root of 65 = 8.062257748 = approx 8.1
midpoint = (x1+x2)/2 , (y1+y2)/2
= 2+6 /2 , 3+10 /2
=8/2 , 13/2
= 4, 6.5 (midpoint)
equation= y=mx+c
m(gradient) = (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2)
= so, (3-10)/(2-6) (y1-y2)/(x1-x2)- i normally use this one
= -7/-4 = 1.75
so y=1.75x+c
plug in the values from any one of them (2,3) or (6,10)
to get
for example: 3=1.75*2+c
3=3.5+c
-0.5=c
now we get the equation y=1.75x+(-0.5)
you always have to have a plus( +(-0.5)) since the equation is y=mx+c
Ответ:
the answer is F (-7,-1) and D(1,7)