Question

Will somebody help explain some math problems to me? I will give a medal and become a fan.

Answer 1

start posting the questions you need help with

Answer 2

ok

Answer 3

Here is my first question thank you

7. What is the slope of the line that passes through the pair of points (2, 5) and (8, 3)? (1 point)
1/3
-1/3
3
–3

Answer 4

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 5

ok thank you i will solve it right now

Answer 6

Is it negative 1/3?

Answer 7

YES! good work :)

Answer 8

thank you

Answer 9

here is the next question

11. Write an equation in point-slope form for the line through the given point with the given slope.
(5, 2); m = 3 (1 point)
y + 2 = 3(x – 5)
y + 2 = 3x – 5
y – 2 = 3(x + 5)
y – 2 = 3(x – 5)

Answer 10

slope point form : \(\large y-y_1 = m (x-x_1)\)
where point is x1,y1 = 5, 2 here

Answer 11

so would it be a? this one is a little harder

Answer 12

'a' has y+2 but according to the formula, left side = y-y1 with y1 = 2
so left side = y-2

Answer 13

so d?

Answer 14

\(\Large \checkmark \)

Answer 15

thank you again. do you mind helping me on a couple more i am doing a unit test? :)

Answer 16

18. Write an equation for the line that is parallel to the given line and passes through the given point.
y = 3x + 7; (2, 10) (1 point)
y = 3x + 11 y = 3x + 4 y = –3x + 4 y = ( )x + 4

Answer 17

i just realized i for got to separate them

18. Write an equation for the line that is parallel to the given line and passes through the given point.
y = 3x + 7; (2, 10) (1 point)
y = 3x + 11
y = 3x + 4
y = –3x + 4
y = (-1/3 )x + 4

Answer 18

parallel lines have same slope!
so, first do u know how to find slope of y = 3x +7 ?

Answer 19

Not really :(

Answer 20

compare y= 3x+7 with y= mx+c
then m= slope

Answer 21

\(\large \bf y= \color{red}{3}x+7\\
y= \color{red}{m}x+c \)

Answer 22

so would the answer be b?

Answer 23

YES! good :)

Answer 24

20. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = ( )x + 8
–2x + 8y = 4 (1 point)
parallel
perpendicular
neither

Answer 25

whats in the bracket ??
"()"

Answer 26

oh -1/4

Answer 27

ok,so comparing y = (-1/4)x + 8 with y= mx+c , we get
slope of 1st line as m = -1/4

Answer 28

to get the slope of 2nd line, we will have to isolate 'y' from
–2x + 8y = 4
can you try ?
start by adding 2x on both sides

Answer 29

Would it be perpendicular ?

Answer 30

nopes.
–2x + 8y = 4
add 2x on both sides, what u get ?

Answer 31

-2x +2x +8y = 4 + 2x
so,
0 +8y = 2x+4
8y = 2x+4
now divide by 8 on both sides

Answer 32

y=1/4x+1/2

Answer 33

correct,
so comparing that with y=mx+c
we get slope = m' = +1/4
so they are neither parallel, nor perpendicular :)

Answer 34

Ok thank you I will see if i need more help 1 sec

Answer 35

sure :)

Answer 36

21. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y – 2 =7/3 (x + 5); (–4, 9) (1 point)
y – 9 = (-3)/7 (x – 4)
y – 9 =3/7 (x – 4)
y – 9 = (-3)/7 (x + 4)
y – 9 =3/7 (x + 4)

the (-3)/7 means that it is negative 3 over 7

Answer 37

y – 2 =7/3 (x + 5)
means the slope of this line is m' = 7/3

the slope of perpendicular line will be
m =-1/m' = -3/7
and you have the point x1,y1 =-4,9
use the same formula again,
\(y-y_1 =m (x-x_1)\)

Answer 38

would it be c?

Answer 39

\(\huge \checkmark \quad \ddot \smile \)

Answer 40

oh good i got another one right yay :)

Answer 41

yaay, congrats :)

Answer 42

I want to thank everybody for the great help Thank you :)