Question

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2? Check all that apply.

Answer 1

start with the point - slope formula
\[y-1=\frac{1}{2}(x+2)\] then see how many are of that form

Answer 2

the answer is c

Answer 3

actually the answer is not C

Answer 4

question asks

Check all that apply.

Answer 5

oh yeah wait

Answer 6

indicating that you should look for more than one

Answer 7

how do I know how many are of y-1=1/2(x+2)?

Answer 8

also indicating that blurting out an answer with no explanation is not that helpful

Answer 9

well that one is for sure, so A is one choice

Answer 10

so it is b and c

Answer 11

no a is wrong

Answer 12

you substitute -2,1 in to the answer choices if they make sense it is right, hence it is bc

Answer 13

@ali1029 if you get an answer here like you did above, with no explanation, it may easily be wrong and you should check it yourself

Answer 14

im sorry if i said something right because i was in algebra last year in 7th grade.

Answer 15

something wrong*

Answer 16

i can show you how to do it if you like

Answer 17

yes please. I would like to know what the correct answers are but with an explanation so I know how to figure out future problems, if you dont mind :) @satellite73

Answer 18

ok first off, if you look at your answers you will see three forms for a line
the "point - slope" from which looks like \(y-y_1=m(x-x_1)\)
do you see that one?

Answer 19

is that A?

Answer 20

yes
then there are two other forms
standard form \(ax+by=c\)
and "slope intercept" form \(y=mx+b\)
do you see those?

Answer 21

for the first one, B and for the second one, C?

Answer 22

yes, the first one is B, but the second one is both C and D

Answer 23

D is incorrect

Answer 24

so the answer would be all of them?

Answer 25

so now we have to figure out which ones of these fit our equation

Answer 26

oh okay

Answer 27

do you know how i got this \[y-1=\frac{1}{2}(x+2)\]?

Answer 28

correct? ._.

Answer 29

i am just asking if you know how i got that equation

Answer 30

you used the point slope formula right?

Answer 31

exactly

Answer 32

you can see that it is A, so A is one correct answer

Answer 33

would C and D be correct since they have a point and a slope?

Answer 34

now lets take

\[y-1=\frac{1}{2}(x+2)\] and write it in standard form
multply both sides by \(2\) and ge t
\[2y-2=x+2\] subtract \(2y\) and get
\[x-2y+2=-2\] and finallysubtract \(2\) to get
\[x-2y=-4\]

Answer 35

so B is correct also
btw don't forget that C and D are not "point slope" they are "slope intercept"

Answer 36

now we take
\[y-1=\frac{1}{2}(x+2)\] and write it in slope - intercept form

Answer 37

multiply out on the right and get
\[y-1=\frac{1}{2}x+1\] then add \(1\) and get
\[y=\frac{1}{2}x+2\]

Answer 38

so you see that C is correct also

Answer 39

that means D cannot be correct, because there is only one way to write a line is "slope - intercept" form

Answer 40

i completely get that now! thank you!! @satellite73

Answer 41

its abc, i just did this problem