Question

y = -x - 2

Answer 1

what is the slope of the following equation?

Answer 2

hint: y = -x - 2 is really the same as y = -1x - 2

Answer 3

another hint: y = mx + b has a slope of m

Answer 4

so the slope of this equation would be -1 ?

Answer 5

perfect

Answer 6

May you help me out with some linear equations and finding the slope by using just the graph ?

Answer 7

sure I can help

Answer 8

what is the slope and the y intercept of this graph ?

Answer 9

pick any point you want on the graph

let's say we pick the point (-2,0)

Answer 10

how many units must you go up vertically to be at the same level as the next nearest point (on the right)?

Answer 11

2 ?

Answer 12

we start at (-2,0)

the next nearest point on the right is (-1,1)

Answer 13

how many units must you go upward vertically when you start at (-2,0) and you must be at the same horizontal level as (-1,1)

Answer 14

1 unit ?

Answer 15

correct, so the "rise" is 1

Answer 16

you've gone up 1 unit

now how many units must you go to the right to land on (-1,1) ?

Answer 17

1 unit to the right ?

Answer 18

yep

Answer 19

the "run" is 1

Answer 20

so...

slope = rise/run

slope = 1/1

slope = 1

Answer 21

thanks bro ! now how do you find the y intercept ?

Answer 22

the y-intercept is the point where the line crosses the y axis

Answer 23

so in this case it would be 0,2 ?

Answer 24

(0,2) yes

Answer 25

so

slope: m = 2
y-intercept: the point (0,2) which means b = 2

-------------------------

y = mx+b

y = 1x+2

y = x+2 is the equation of this line

Answer 26

this was a huge reference thank you again jim_thompson5910!

Answer 27

you're welcome

Answer 28

@jim_thompson5910 correct me if im wrong, i got 2/3 as my slope and 0 as my y intercept

Answer 29

you have the fraction mixed up, it should be 3/2

Answer 30

the rise is 3 (you go up 3)

the run is 2 (you then go over to the right 2)

slope = rise/run = 3/2

Answer 31

the y-intercept is correct though

Answer 32

thanks jim

Answer 33

np

Answer 34

the slope is 1/2 and the y intercept is 0 ?

Answer 35

now the slope is negative (since as you go from left to right, the line is "falling" or going down)

Answer 36

the "rise" in this case is -2 (since you go down 2)

the run is 1

slope = ???

Answer 37

-2 ?

Answer 38

yep

Answer 39

-2/1 = -2

Answer 40

@jim_thompson5910 Correct ? slope = -4 .y intercept= 1

Answer 41

you have the right slope, but the wrong y-intercept

Answer 42

damn it i used the wrong axis it was 4 right ?

Answer 43

yes, the y-intercept is 4 or the point (0,4)

Answer 44

it's always on the y axis

Answer 45

@jim_thompson5910 thank you. Can you help me find the linear equation of a graph ?

Answer 46

what is the slope? what is the y-intercept?

Answer 47

the slope is 2 and the y intercept is 2

Answer 48

the slope is incorrect

Answer 49

1/2

Answer 50

are you sure it's positive?

Answer 51

oops left the (-) sign out sorry

Answer 52

remember, you're going from left to right

Answer 53

yep -1/2

Answer 54

now use y = mx+b

Answer 55

y=-1/2x+2 ?

Answer 56

perfect

Answer 57

thanks !

Answer 58

np

Answer 59

so the linear equation to this graph would be y=-2x

Answer 60

you are correct, nice job

Answer 61

y=1/4x or would it be negative ?

Answer 62

it's positive, hopefully you see why

Answer 63

left to right

Answer 64

yep, start on the left and go to the right

you move UP as you travel along the line

Answer 65

which of the following points are not on the graph of y=2/3x+1

Answer 66

this is the last one I can help you with

Answer 67

no problem bro