Question

Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8).

and

Indicate in standard form the equation of the line through the given points.

P(0, -4), Q(5, 1)

Answer 1

for first,
The co-ordinates of midpoint(x,y) on the line segment with end-points

(x1,y1) and (x2,y2) is just the average of co-ordinates, given by :
\(\large x=\frac{x_1+x_2}{2}\)
\(\large y=\frac{y_1+y_2}{2}\)
now,just put the values and find the co-ordinates of midpoint (x,y).

Answer 2

so like x= 10+-4/2

Answer 3

for 2nd question, first find the slope of line containing points P and Q, using the formula i gave you.
then i'll tell u what to do next...
yup, x = (10-4)/2 =... ?

Answer 4

so for the first one is it (3,7)

Answer 5

correct :)

Answer 6

yay :)
for the second im still lost

Answer 7

first find the slope of line with points P(0, -4), Q(5, 1)
same formula we used in previous question, should i mention it again ?

Answer 8

The slope of the line through points (x1,y1) and (x2,y2) is given by :
\(\huge m=\frac{y_1-y_2}{x_1-x_2}\)
now,just put the values and find m.

Answer 9

like -4-1/0-5

Answer 10

-5/-5

Answer 11

yup, so the slope m=1, right ?

Answer 12

i tought it was -1?

Answer 13

- *minus* in numerator and - in denominator gets cancelled,
-1/-1 = 1

Answer 14

oh okay i see

Answer 15

now you have the slope(m=1) and take one point say (0,-4) --> x1=0, y1 =-4
plug these in
y-y1 = m (x-x1)

Answer 16

y-(-4)=1(x-0)

Answer 17

yes, simplify ..

Answer 18

so y-4=1x-0 ??

Answer 19

the standard form of line equation is : ax+by = c (or ax+by+c=0)
so, to get y-4 =x in that form, i would suggest you to first subtract x from both sides, what u get ?

Answer 20

??uhm so x-y=-4

Answer 21

yes, that would be correct :)

Answer 22

yess thanks

Answer 23

can you help me on this on plz
Indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answer 24

sorry i lost connection
and y-(-4) = y+4=x
will give u x-y=+4