Question

What is the equation of the following line? Be sure to scroll down first to see all answer options.

A. y = 2x
B. y = x
C. y = 3x
D. y = - x
E. y = -6x
F. y = 6x

(help me understand this please)

Answer 1

@Gebooors

Answer 2

can you solve for the slope of the line?

Answer 3

i forgot how to :l @nincompoop

Answer 4

slope is a change in y over change in x
does this sound familiar?

Answer 5

I'll help you out step by step

Answer 6

Equation is y = kx + b

If k > 0, line is rising, ascending

Answer 7

Like x over y?:o @nincompoop
i don't understand how to plug in the numbers with that equation D: @Gebooors

Answer 8

geboors, ascending and descending with respect to what point of reference?

Answer 9

SLOPE \[slope=m=\frac{ \Delta y }{ \Delta x}=\frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 10

You have e.g. Y = 3x
If x = 1, y = 3* 1 = 3

calculate with few small values of x (0.1.2)
You find matching line.

Answer 11

too many hands in the pot... should I stop helping?

Answer 12

Ok, I remembered term ascending wrongly.

Answer 13

Go on, nincompoop, I have other questions here awaiting.

Answer 14

hold on, i'm trying to plug in the numbers to @nincompoop's slope thing :o

Answer 15

okay

Answer 16

Myphuong, you have to concentrate one thing at time.
You can continue with nincompoop

Answer 17

\[\frac{ 0 - (-3) }{0 - (-1/2)}\]

Answer 18

i think thats how it is ._. probably wrong @nincompoop
got it ;D @Gebooors

Answer 19

first, list the coordinates given in the graph

Answer 20

(0,0) & (-1/2, -3)

Answer 21

label them as
(x1, y1) & (x2, y2)

Answer 22

I didn't see your slope solution, yeah you are correct

Answer 23

simplify it

Answer 24

0 = x1
0 = y1
-1/2 = x2
-3 = y2
:o

Answer 25

simplify your slope

Answer 26

\[\frac{ 3 }{ 1/2 }\]

Answer 27

can you simplify it further?

Answer 28

like divide it?

Answer 29

your fraction can also be written this way, yes? \[\frac{ 3 }{ 1 }\div \frac{ 1 }{ 2 }\]

Answer 30

it can? o.o
i honestly don't know how you got the 1 though

Answer 31

3 is the same thing as 3/1

Answer 32

I put 1 in the denominator to emphasize it

Answer 33

oh alright so do i cross them?
orr
is it just 3 over 2?

Answer 34

what is the rule when dividing two fractions?

Answer 35

you take the reciprocal of 1/2 and then you multiply it to the other fraction, correct?

Answer 36

Multiply 3 over 1 by the inverse of 1 over 2? :o which could be 2 over 1?

Answer 37

\[\frac{ 3 }{ 1 } \times \frac{ 2 }{ 1 }\]

Answer 38

6 over 1 o: or just 6

Answer 39

yeah!
so now we have our slope = 6

do you know the point-intercept form?

Answer 40

sorry something went wrong with openstudy and it kicked me out -_-
ahh! its um y = mx + b, right?

Answer 41

I've never heard of point-intercept form, but slope-intercept form sounds like what you want here. You have the slope, and you have the intercept.

\[y = mx+b\]is slope-intercept form, where \(m\) is slope and \(b\) is the y-intercept value.

Answer 42

My approach to this problem: your line goes from (-1/2, -3) through (0,0). That means in a change of 1/2 on the x-axis (from -1/2 to 0), the y value changes by 3 (from -3 to 0). Slope is change in y divided by change in x, so our slope is 3/(1/2) or 6/1 = 6. The line goes through the origin so we don't have to worry about a y-intercept — it's 0.