Question

Determine the equation of the line, in slope-intercept form, that will get your spacecraft from (1,2) to (5,5).

Answer 1

So far I did the work --- m= 5-2/5-1= ¾. Then you put in into point-slope form, y-5= ¾ (x-5). Next multiply 4 on both sides, (4)y – (4)5= ¾ (4) (x-5). 4y- 20 = 3(x-5). Then simplify the right side, 4y – 20 = 3x -15. Then add 20 on both sides, 4y = 3x + 5. I'm not sure if my answer is 4y = 3x +5 or if the y part in slope-intercept form should be alone?

Answer 2

@amistre64 can you help me please?

Answer 3

@Hero

Answer 4

@UnkleRhaukus

Answer 5

i'm sorry to bother you guys

Answer 6

i guess the solution is 4y=3x+5

Answer 7

\[m=\frac{ 5-2 }{ 5-1 }\]

\[m=\frac{ 3 }{ 4 }\]

\[y-y _{1}=m(x-x _{1})\]

\[y-2=3/4(x-1)\]

\[4y-8=3x-3\]

\[4y=3x+5\]

Answer 8

@nurali:ya i did the same way

Answer 9

slope intercept form is y=mx+c then why the 4y is there..?
PS- divide 4 on both sides

Answer 10

ok so for y=mx +b the answer would be 4y = 3x +5

Answer 11

ya...if u want in that format..then ur answer will be y=(3/4)x+(5/4)

Answer 12

@divu.mkr how do you divide 4 on both sides if you got an x on one side and a y on another? I think 4y = 3x +5 is right. if not i'll write the right one later when I find out :)

Answer 13

the slope-intercept is y=mx+b .. you need to divide 4 on the both sides to satisfy the slope-intercept .. :)

Answer 14

ya right...so ultimately the answer will be y=(3/4)x+(5/4)..

Answer 15

@susanka is right.. :)

Answer 16

:)

Answer 17

i'm going to double check because it could go any way :) but you guys could be right :)

Answer 18

okay, girl . :)

Answer 19

I believe you gusy areright because I did a different method for solving this problem so naturally it should be y =3/4x + 5/4 :)

Answer 20

*guys are right

Answer 21

that's good. :) ^_^

Answer 22

dear slope intercept is y=mx+c not ay=bx+c @issy987

Answer 23

Hey sorry for bothering again but I got one more question... if the answer is y = 3/4x +5/4 shouldn't the b intercept be a whole number?

Answer 24

(1 ,2) to (5,5)
-1-2 -1-2
------------
0,0 4,3

x = 4t + 1 ; solve for t, (x-1)/4
y = 3t + 2 ; plug in for t

y = 3(x-1)/4 + 2

y = 3x/4 -3/4 + 8/4

y = 3x/4 + 5/4

Answer 25

not necessary @issy987

Answer 26

the y intercept is whatever real number the line crosses the y axis at.