Question

will give medal
how would i graph -1/2x + 1/6y = 2/3

Answer 1

and

Answer 2

What is your most familiar form of a line? Slope-Intercept?

Answer 3

@agent0smith

Answer 4

You don't have a favorite form with which you are familiar? I've never heard of the agent0smith form.

Answer 5

no i do not have a favorite form

Answer 6

\[\Large -\frac{ 1 }{ 2 } x + \frac{ 1 }{ 6 } y = \frac{ 2 }{3 }\]The easiest method to graph from this form would be to find x- and y- intercepts, or put it into y=mx+b form if you like.

Answer 7

the first way works

Answer 8

\[\Large -\frac{ 1 }{ 2 } x + \frac{ 1 }{ 6 } y = \frac{ 2 }{3 }\]
To find the x-intercept: plug in y=0 and solve the equation for x

To find the y-intercept: plug in x=0 and solve the equation for y

Answer 9

the agent0smith form, i lol'd

Answer 10

Try converting it to slope-intercept form or do what agent0smith suggested.
y = mx +b
m = slope (rise/run of your line)
b = y-intercept (where you start graphing from on the y-axis),

Answer 11

im confused

Answer 12

Start with the x-intercept.

To find the x-intercept: plug in y=0 in the following equation, and solve for x
\[\Large -\frac{ 1 }{ 2 } x + \frac{ 1 }{ 6 } y = \frac{ 2 }{3 }\]

Answer 13

-4/3

Answer 14

?

Answer 15

Yes, so your x-int is \[\Large \left( -\frac{ 4 }{ 3}, 0 \right)\]
To find the y-intercept: plug in x=0 and solve the equation for y

Answer 16

y = 4

Answer 17

So your y intercept is (0, 4). Now plot this point, and the x-intercept above on a graph.

Answer 18

Once you plot the two points, draw a straight line through both, with arrows on each end.

Answer 19

i don't know how to graph

Answer 20

-1/2x + 1/6y = 2/3

Maybe, multiply by 6

-3x + y = 4

Add 3x to Slope-Intercept Form y = 3x + 4

Divide by 4 to Intercept Form \(\dfrac{x}{-4/3} + \dfrac{y}{4} = 1\)

You should be familiar with the various "Forms". One or two forms may be most valuable, but under exam time pressure, the quickest and easiest solutions come from knowing the form that matches the given data most closely.

Answer 21

im not sure which graph i correct

Answer 22

That "Intercept Form" is a GREAT hint! Which one has x-intercept x = -4/3 and y-intercept y = 4?

Answer 23

im not sure

Answer 24

You cannot pass this course if you cannot read an x-y coordinate system. Do you live in a community where the city blocks are laid out in a rectangular grid?

Generally, these things start at (0,0), known as the origin. x increases in the positive direction to the RIGHT. y increases in the positive direction UP. In both cases, the opposite direction is the mirror image but in negative numbers.

(0,4) is 0 from the Origin in the right or left direction and 4 UP (positive y-direction.)

(-4/3,) is 4/3 in the negative x-direction and 0 up or down.

Answer 25

^Yeah I'm hoping you're able to deal with coordinates.

The y-intercept is where the graph touches the y-axis, where the two lines meet (intersect).

The x-intercept is where the graph touches the x-axis.

Answer 26

would it be the first graph

Answer 27

Where does the first graph cross the x-axis (the horizontal axis)?