Question

Write an equation of the direct variation that includes the point (6, –2)

Answer 1

look so
y=3x+b for example
-2=3*6+b
b=-20 y=3x-20 y=3x-20

Answer 2

\(\huge\rlap{\color{lime}{\bigstar}}{\color{orange}{\;\bigstar}}\huge\rlap{\color{blueviolet}{\bigstar}}{\color{purple}{\;\bigstar}}\huge\rlap{\color{lightgreen}{\bigstar}}{\color{cyan}{\;\bigstar}}\huge\rlap{\color{turquoise}{\bigstar}}{\color{royalblue}{\;\bigstar}}\huge\rlap{\color{purple}{\bigstar}}{\color{red}{\; \bigstar}}\huge\rlap{\color{#00bfff}{\bigstar}}{\color{goldenrod}{\;\bigstar}}\huge\rlap{\color{goldenrod}{\bigstar}}{\color{yellow}{\;\bigstar}}\huge\rlap{\color{#11c520}{\bigstar}}{\color{magenta}{\;\bigstar}}\huge\rlap{\color{darkgreen}{\bigstar}}{\color{blue}{\;\bigstar}}\huge\rlap{\color{#00bfff}{\bigstar}}{\color{#11c520}{\;\bigstar}}\huge\rlap{\color{lime}{\bigstar}}{\color{yellow}{\;\bigstar}}\huge\rlap{\color{royalblue}{\bigstar}}{\color{red}{\;\bigstar}}\\\huge\scr\frak\rlap{\color{blue}{Welcome~~to~~OpenStudy!}}{\color{orange}{\;Welcome~~to~~OpenStudy!}}\\\huge\rlap{\color{lime}{\bigstar}}{\color{orange}{\;\bigstar}}\huge\rlap{\color{blueviolet}{\bigstar}}{\color{purple}{\;\bigstar}}\huge\rlap{\color{lightgreen}{\bigstar}}{\color{cyan}{\;\bigstar}}\huge\rlap{\color{turquoise}{\bigstar}}{\color{royalblue}{\;\bigstar}}\huge\rlap{\color{purple}{\bigstar}}{\color{red}{\; \bigstar}}\huge\rlap{\color{#00bfff}{\bigstar}}{\color{goldenrod}{\;\bigstar}}\huge\rlap{\color{goldenrod}{\bigstar}}{\color{yellow}{\;\bigstar}}\huge\rlap{\color{#11c520}{\bigstar}}{\color{magenta}{\;\bigstar}}\huge\rlap{\color{darkgreen}{\bigstar}}{\color{blue}{\;\bigstar}}\huge\rlap{\color{#00bfff}{\bigstar}}{\color{#11c520}{\;\bigstar}}\huge\rlap{\color{lime}{\bigstar}}{\color{yellow}{\;\bigstar}}\huge\rlap{\color{royalblue}{\bigstar}}{\color{red}{\;\bigstar}}\)

Answer 3

No, in a direct variation problem, the line needs to pass through the origin (i.e. b=0)

If you are given one point (such as (6, -2)), you always know the other point is (0, 0). Calculate the slope between them. This will be k in the equation y=kx

Answer 4

it is adirect variation because it is constant @SolomonZelman

Answer 5

it can pass through the origin and yet contain a point -2,6 I don't see a problem with that

Answer 6

so am i right? thee are many eqautions

Answer 7

you are basically finding the equation of the line that is going through (0,0) and (6,-2).

Answer 8

But leave it to the poster, please don't do her/his work.

Answer 9

i dont understand is eqaution y=3x-20 a direct?

Answer 10

no

Answer 11

mmmm

Answer 12

@AlexandervonHumboldt2 Unfortunately, there is only one solution. The line y=3x-20 doesn't pass through the origin

Answer 13

hmm ok

Answer 14

A direct variation equation is basically a line that goes through the origin, through point (0,0).

Answer 15

y=kx, same as y=mx+b , where b=0.

Answer 16

so two points can be used to find the slope, then a point slope formula is applied. (plug in slope and any of the two given points, or you can plug it into y-intercept form, y=mx+b, doesn't make any difference, except that point slope is more traditional.)

Answer 17

okay, the poster isn't here, so we can leave, until replies by the poster are made.

Answer 18

lol

Answer 19

Thanks, but still don't get it. I'm not as advanced😞