Question

Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.

Answer 1

A. 4x + 4y = 6
B. x + 4y = 12
C. 4x + 4y = -12
D. x - 4y = -6

Answer 2

@FireKat97

Answer 3

Okay so this time, the only thing thats changed is the fact that you have no longer been given the slope, but remember you can find the slope with m = (y2 - y1)/(x2 - x1) or just rise/run

Answer 4

And from there you can apply the same equation you had used earlier

Answer 5

uhh..

Answer 6

Let (2, 2) and (6, 3) be (x1,y1) & (x2,y2)
First find the slope
m=(y2-y1)/(x2-x1)
m=1/4
Then take any pt (2, 2) or (6, 3)
(y-y1)=m(x-x1)
Then substitute the values of m & x1&y1
x-4y+6=0

Answer 7

okay have you covered the equation m = (y2 - y1)/(x2 - x1)?

Answer 8

okay so 3-2=1 and 6-2=4

Answer 9

yes

Answer 10

yup but its (3 - 2)/(6 -2) so m becomes 1/4

Answer 11

indeed
whats next

Answer 12

and now we have our slope and you can pick either of the two set of coordiantes, and reapply the formula we used in the previous question

Answer 13

yup so in this case (2, 2) looks like the easier coordinate to use (because smaller numbers) so you can sub this and the slop of 1/4 into (y - y1) = m(x - x1)

Answer 14

slope*

Answer 15

(y-2) =1/4 (x-2)

Answer 16

yup thats correct!

Answer 17

thats not a choice though..

Answer 18

Thats because they don't have fractions in the answer, so we should rearrange our equation

Answer 19

so to get rid of the fraction on the right hand side, we can multiply both sides of the equation by 4 for starters

Answer 20

4y-8=x-2

Answer 21

Yup, and now we simplify further by resolving the -8 on the left hand side and -2 on the right

Answer 22

4y=x+6

Answer 23

4y-x=6

Answer 24

yup thats correct!

Answer 25

thats not an answer either :/

Answer 26

Thats because they have multiplied the left and right hand sides by -1, so try that and tell me what you get

Answer 27

d

Answer 28

Yup

Answer 29

:D

Answer 30

Thank you!!!

Answer 31

No problem :)