Question

What is the equation in standard form of the line which passes through (4, −2) and has a slope of −3?

Answer 1

@ganeshie8

Answer 2

y-y1 = m(x-x1) <- right ?

Answer 3

We have have point (4, -2) and slope -3

Answer 4

so, lets start by writin the equation in point-slope form,
after that we can canvert it to standard form

Answer 5

i believe so. I got this x + 3y = −10 but i dont think its correct

Answer 6

lets see,

equation in point slope form :-
y-y1 = m(x-x1)

Answer 7

(4, -2) and slope -3
x1 y1 m

Answer 8

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

y+2 = -3x+12

3x+y = 10

Answer 9

So its 3x+y=10

Answer 10

Yes ! you must have flipped sign somehwere... thats all i guess

Answer 11

thankyou, now this one ( its a hw assighment and its worth 100 points) I wanna make sure I get them correct.


Given that f(x) = 6x + 2 and g(x) = \[\frac{ 2x+4 }{ 5 }\] solve for g(f(1)).

Answer 12

for this one I got 3

Answer 13

wrong, try again

Answer 14

ok brb

Answer 15

you wanto find : g(f(1))

first find f(1)

Answer 16

okie take ur time

Answer 17

f is 8 correct?

Answer 18

you mean f(1) is 8 ?
then you're correct :)

Answer 19

g(f(1))

g(8)

Answer 20

now find g(8)

Answer 21

yes! 1 is 8 ! ok im gonna find g(8)

Answer 22

good luck !

Answer 23

its 1 ! :o

Answer 24

no try again

Answer 25

what ! -.-

Answer 26

ok ok let me write it on paper that helps

Answer 27

\(\large g(x) = \frac{ 2x+4 }{ 5 } \)

Answer 28

I got it ! it's 4 g=4

Answer 29

\(\large g(8) = \frac{ 2(8)+4 }{ 5 } \)

Answer 30

\(\large g(8) = \frac{16+4 }{ 5 } \)

Answer 31

yup ! sorry my computer was behaving bit..

Answer 32

so its not 4?

Answer 33

g(f(1)) = g(8) = 4

Answer 34

@ganeshie8 sorry i took so long i had a teacher calling (online schooling)

Answer 35

Now this one What is the equation of a horizontal line passing through the point (2, 10)? I got x=2

Answer 36

equaiton of horizontal line :-
y = k

Answer 37

since its going thru (2, 10)
equation wud be y = 10