Question

Can someone please show me how to do this? I really need help... I will give a medal
Graph the following equations using the point-slope method or intercepts method. (1 pt) Show the steps of the procedure as outlined in the lesson as you graph the lines. (1 pt) Draw your y-intercept in yellow, your other points in red and your line in blue.
y = -3x + 2

Answer 1

@Directrix Can you try to help me? Please?

Answer 2

hi

Answer 3

you will need graph paper

Answer 4

okay @baru I have a graph that I have to put it on

Answer 5

first we will find "y intercept"

y intercept is where the graph of the line cuts the y axis

Answer 6

y=-3x + 2

to find y intercept; just substitute x=0 in the above equation

what do you get?

Answer 7

-1?

Answer 8

how did you get -1
i said substitute x=0 in the equation of the line,
can you show your steps please

Answer 9

umm like this ~ -3+2

Answer 10

y=-3x +2

substitute x=0 means:- write '0' in place of x

y=-3(0) +2

Answer 11

now can you find y?

Answer 12

y=?

Answer 13

2? I'm sorry if I get it wrong.. I'm not very good at math

Answer 14

thats ok :). it gets better with practice

Answer 15

yes it is 2.
but can you tell me how ?

Answer 16

y= -3x + 2

here 3x actually means \(3 \times x\)

Answer 17

Umm I just did this~ -3(0)+2

Answer 18

^you understood what i just said?

Answer 19

yes sir/ma'am

Answer 20

lol... i'm a guy, but dont cal me sir

Answer 21

when i say substitute x=0, you just have to write 0 in place of x
y= -3x +2
y=-3(0) +2
y=0 +2 (because 0 multiplied with any number is zero)

y=2

Answer 22

followed?

Answer 23

yes

Answer 24

ok, now
y=2 is the y intercept
in other words, its the point where the line cuts the y axis

Answer 25

on your graph sheet, mark the x axis and y axis

Answer 26

@abbycross167

Answer 27

Ok I'm sorry I have slow WiFi. y= 2 and x=0?

Answer 28

yes exactly, mark that point in yellow

Answer 29

done with that?

Answer 30

yes sir

Answer 31

XD no 'sir'

Answer 32

haha sorry

Answer 33

i've marked the point with a circle, does your graph look similar

Answer 34

?

Answer 35

yes

Answer 36

ok,
now we will find 'x intercept'

y=-3x + 2

so substitute y=0
what do you get?

Answer 37

is 'x' still 0?

Answer 38

no, to find x intercept, we start fresh, so leave 'x' as x

Answer 39

lets go step by step
substitute y=0 in the equation, write what you get

Answer 40

0=-3x+2?

Answer 41

yes perfect
now, we need to solve this equation and find 'x'

Answer 42

do you know how to do that?

Answer 43

umm not really

Answer 44

ok, the rule for solving equations is, you can do anything you want; add numbers or subtract or multiply or divide,

but what ever you do, you have to do it to BOTH sides of the equation

Answer 45

0=-3x + 2

first, subtract 2 from BOTH SIDES of the equation

write what you get

Answer 46

-3-2+2-2=-5?

Answer 47

no, leave everything as is, do not remove x

0 = -3x + 2

subtract 2 from both sides

0\(-2\)=-3x +2 \(-2\)

Answer 48

do you understand what i just did?

Answer 49

umm I think so... Is it -3?

Answer 50

no...
we are not there yet

0-2= -3x + 2 -2

can you simplify this a little
there is 2-2 on the right side of the equation

Answer 51

2-2=0... so that just leaves me with -3x?

Answer 52

correct!!, you are left with just -3x ON THE RIGHT SIDE OF THE EQUATION

what is on the left side?

Answer 53

2? or -2?

Answer 54

0-2=-2
so now can you write the whole equation after simplifying 0-2 and 2-2 ?

Answer 55

I'll try

Answer 56

like you said

ON THE RIGHT SIDE we are left with just -3x
ON THE LEFT SIDE we have -2

so what is the equation now?

Answer 57

would it just be -3x-2 ?

Answer 58

0-2= -3x + 2 -2

i am just asking you to simplify this

0-2 is -2
2-2 is 0

-2=-3x +0

-2= -3x

Answer 59

oo ok

Answer 60

so now we have
-2 = -3x

divide BOTH SIDES OF THE EQUATION BY -3

what do you get?

Answer 61

-2 divided by -3=1.5
-3 divided by -3=1
?

Answer 62

yes!!!

Answer 63

very good :)

now write that in the the equation

Answer 64

1.5=1x?

Answer 65

yes, excellent! you are catching on

Answer 66

you know that 1 multiplied with any number is the same number
so 1x is just x

Answer 67

oh sorry, i didnt notice, -2 divided by -3 is not 1.5, its 0.67
its just a minor mistake...but your step are correct

Answer 68

so can you correct that, and use what i just said about 1x and re-write the equation

Answer 69

ok so the equation would be 0.67=1x?

Answer 70

yes and 1x=x
so the equation is

0.67=x

congratulations, you have solved the equation and found x. :)