Question

Write an equation in point-slope form of the line through point J(4, 2) with slope 3

Answer 1

HI WELCOME TO OPENSTUDY :))

slope intercept form is \(\Large y=mx+b\)
where m is your slope and b is your y-intercept.

put you slope, m=3 into the equation
\(\Large y=3x+b\)
now, using the point you have, solve for b
can you do that?

Answer 2

I dont know how and i need help

Answer 3

(4, 2) = (x, y)
x=4
y=2

substitute these values into y=3x+b
then tell me what you have and i'll tell you what you need to do next?

Answer 4

okay im working on the problem now(: give me a minute

Answer 5

alright :)

Answer 6

I got 2 = 12b

Answer 7

i think i did it wrong

Answer 8

almost right
it should be \(\Large 2=12 + b\)
now, to solve for b, subtract both sides by 12, what will you have?

Answer 9

b = -10

Answer 10

right! (^_^)
so you m=3 , b= -10
put this in the equation \(y=mx+b\)
you'll get?

Answer 11

Almost but the options that i have for this problem are
a. y-2=3(x+4)
b. y-2=3(x-4)
c.y-2=-3(x-4)
d.y+2=3(x+4)
and I dont understand how they got the choices

Answer 12

aah, they use this : \((y-y_1)=m(x-x_1)\)

you have \((x_1, y_1)=(4, 2)\) and \(m=3\)

substituting these:
you will have \(\LARGE y-2=3(x-4)\)

if you will simplify this, you'll get the answer you have before,
but i see that they did not simplify it, so you can have this as your answer ;)

Answer 13

do you have time to help me with 7 more questions ? i have an online class and i only have 29 more minutes to finish them and i really could use the help.

Answer 14

oh, i'm so sorry, i'm afraid i can't, i have classes tomorrow and i have to sleep now.
just post your questions again and maybe there are other users that can help you :)

Answer 15

okay thanks for your help :)

Answer 16

no problem :)
goodnight