Question

What is the slope-intercept form of the function that contains the points (6, 2) and (4, 8)?

Answer 1

As a start : find the slope from given points

Answer 2

@ganeshie8 I found the slope and its like this.

Answer 3

yes, whats the slope ?

Answer 4

use the slope formula

http://www.algebra-class.com/image-files/slope-formula-2.gif

Answer 5

(6, 2) and (4, 8)
x1 y1 x2 y2

Answer 6

slope = (y2 - y1)/(x2 - x1)
= (8 - 2)/(4 - 6)
= ?

Answer 7

Ahh, (2,-6) right?

Answer 8

2/-6.

Answer 9

slope is a single number...

Answer 10

slope = (y2 - y1)/(x2 - x1)
= (8 - 2)/(4 - 6)
= 6/-2
= -3

Answer 11

slope = -3

Answer 12

Yeah, but what about this? y = ? x + ? fill in the ?

Answer 13

Its from this question.

Answer 14

slope intercept form of line is :
\[\large y = \color{Red}{m}x + \color{Red}{b}\]

Answer 15

\(\large \color{red}{m}\) : slope
\(\large \color{red}{b}\) : y intercept

Answer 16

you know slope already, right ?

Answer 17

Yes?

Answer 18

you just need to find the y intercept

Answer 19

\[\large y = \color{Red}{-3}x + \color{Red}{b}\]

Answer 20

plugin any of the given points into above equation and solve `b`

Answer 21

maybe plugin the first point (6, 2) :
\[\large 2 = \color{Red}{-3}(6) + \color{Red}{b}\]

solve `b`

Answer 22

Well, i just dont understand what is b.

Answer 23

you need to solve the above equation for `b`

Answer 24

\[\large 2 = \color{Red}{-3}(6) + \color{Red}{b}\]

\[\large 2 = -18 + \color{Red}{b}\]

\[\large 20 = \color{Red}{b}\]

Answer 25

I still got more anyone care to look?

Answer 26

everyone here is for helping only, however you need to try a bit and ask only the part that doesn't make sense..

Answer 27

i have noticed that you're stuck at solving `2 = -3(6) + b`
haven't you dealt with solving equations like that before ?

Answer 28

No not really.

Answer 29

I see... they are called `two step equations`
see this for mastering them
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations/v/why-we-do-the-same-thing-to-both-sides-two-step-equations

Answer 30

you need to know how to solve such equations,
they show up everywhere...