Question

Math corrections, need help studying im doing ones that are harder than this? can someone solve each of them and explain please

Answer 1

Write the equation of the line with a slope of -5 and a y-intercept of (0,3).

Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).

Write the equation of the line passing through the points (0, -4) and (-2, 2).

Write the equation of the line passing through the points (-6,1) and (-4,2).

Write the equation of the line with an undefined slope, passing through the point (2, 5).

Answer 2

First thing first, do you know any linear equations?

Answer 3

For example: y = mx + b
Do you have any clue what "m", what "b" stand for?

Answer 4

yes i do im doing some on my homework at the moment those are ones from a test that i got back b4 spring break i need to practice those

Answer 5

B would the y intercept if im correct and the m is the points on the graph

Answer 6

Yes, b ( write strictly in lower case) is y intercept point!
But "m" is SLOPE
Now can you try the first 2 questions, so I can follow up :)

Answer 7

y = mx + b called SLOPE - INTERCEPT linear equation form
Can you write down other forms here?

Answer 8

i dnt know how thats why i need someone to solve but explain how to ?

Answer 9

You know the formula,
and in the first question you already had slope m, and b,
Can you plug them in?

Answer 10

y = -5x + 0,3

Answer 11

b means y coordinate only!

Answer 12

y = -5x + 3

Answer 13

Yup :)
Now can you proceed to write the FORMULA for POINT-SLOPE form?

Answer 14

how do i do that

Answer 15

Look up the formula from your textbook, notes
( You haven't plug any numbers in yet )

Answer 16

i dnt have any srry notebook is in my locker

Answer 17

Or... google the formula :)

Answer 18

what the name of it

Answer 19

POINT-SLOPE linear form?

Answer 20

nvr mind is this right ?

Answer 21

Write the equation of the line with a slope of -1/3 and passing through the point (6, -4)
y = mx + b

y = -1/3x + -4

Answer 22

Wrong, because you're using the wrong formula !!!

Answer 23

hold i got my online txt book

Answer 24

y - y1 = m(x - x1)

Answer 25

Yep, see the different between 2 formulas!
Now in the second question, slope m and the point coordinate are given

Answer 26

got it

Answer 27

Can you plug them in?

Answer 28

y - (-4) = -1/3[x- (6)]

Answer 29

Correct, can you simplify the signs?

Answer 30

y - (-4) = -1/3[x- (6)]

y + -4 = -1/3[x- 6]

y + -4 = -1/3x- 6

Answer 31

didnt complete it but am i doing it right

Answer 32

Always change the sign if in front it is NEGATIVE !
y - ( -4) = y + 4

Answer 33

y - (-4) = -1/3 (x- 6)
y + 4 = -x/3 + 6/3
Do you understand so far, can you continue?

Answer 34

Don't forget to distribute the -1/3 for ALL the elements inside ( the purpose of parentheses )

Answer 35

one sec

Answer 36

like that
y - (-4) = -1/3[x- (6)]

y + 4 = -1/3x- 6

y + 4 - 4 = -1/3x- 6 - 4

Answer 37

im going by what my txtbook says

Answer 38

I don't think you read it correctly!

Answer 39

Example #1: Write the equation of a line with a slope of 2 and passing through the point (-3,4).

We know m = 2 and we have an ordered pair that contains the values x1 = -3 and y1= 4.

Plug those values into the point-slope formula, y - y1 = m(x - x1).

y - 4 = 2[x - (-3)]

Simplify and put the equation of the line in slope-intercept form.

y - 4 = 2[x + 3]

y - 4 = 2x + 6

y -4 + 4 = 2x + 6 + 4

y = 2x + 10

Answer 40

Write the equation of a line with a slope of 1/2 and passing through the point (2, -2).

We know m = 1/2 and we have an ordered pair that contains the values x1 = 2 and y1= -2.

Plug those values into the point-slope formula, y - y1 = m(x - x1)

y - (-2) = 1/2 (x - 2)

y + 2 = 1/2x - 1

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

y =1/2 x - 3

Answer 41

..= 2[x + 3]
..= 2x + 6
Did you see how the "2" distribute for both terms inside of the bracket?

Answer 42

yeah

Answer 43

Can you redo this:
y + -4 = -1/3[x- 6]

Answer 44

-1/3[x- (6)]

-1/3x- 6

Answer 45

How about the second term?

Answer 46

which is that

Answer 47

subtracting -4 from each side right

Answer 48

.= 2[x + 3] ..
= 2x + 6
In here the second term is "3"

Answer 49

2

Answer 50

Redo it, will you:
-1/3 ( x - 6)
=

Answer 51

Pay attention to the DISTRIBUTE the NEGATIVE sign, too :(

Answer 52

-2

Answer 53

As I just remind you, "Pay attention to the DISTRIBUTE the NEGATIVE sign, too :( "

Answer 54

i dnt get it

Answer 55

-1/3 ( x - 6)
= - (x/3 - 6/3)
= - x/3 + 2

Answer 56

That's what DISTRIBUTION means!

Answer 57

or -1/3 ( x - 6 )
= 1/3 ( -x + 6 )
= -x/3 + 2

Answer 58

can you explain

Answer 59

Since you just practice with distribution
First step: Multiply the NEGATIVE SIGN into both terms
Second : Multiply 1/3 for both terms

Answer 60

ok i see but what do you mean by
Multiply the NEGATIVE SIGN into both terms
Multiply 1/3 for both terms

Answer 61

Now you can continue with:
y + 4 = = -x/3 + 2

Answer 62

You don't understand DISTRIBUTION at all, don't you:
-1/3 ( x - 6 )
Multiply the NEGATIVE SIGN into both terms:
= 1/3 ( -x + 6 )

Answer 63

ok i see what you mean

Answer 64

so you move the negative to the x

Answer 65

AND the second term, too!

Answer 66

what is the second term

Answer 67

How many terms inside of the parentheses here???

Answer 68

1

Answer 69

If just one term, there's will be no parentheses !!!

Answer 70

confused what are the terms

Answer 71

( x - 6 )
first second terms

Answer 72

ok

Answer 73

so there is x and -6

Answer 74

-1/3 ( x - 6 )
Multiply the NEGATIVE SIGN into both terms:
= 1/3 ( -x + 6 )

Answer 75

= 1/3 ( -x + -6 )

Answer 76

ALWAYS change the signs inside of the parenthese, if in front it is NEGATIVE !

Answer 77

confused

Answer 78

= 1/3 ( -x + 6 )

Answer 79

Just opposite!

Answer 80

like what you did

-1/3 ( x - 6 )
Multiply the NEGATIVE SIGN into both terms:
= 1/3 ( -x + 6 )

Answer 81

Yes, that's it!

Answer 82

ok i see

Answer 83

so what is my next step

Answer 84

= 1/3 ( -x + 6 )
Next, Multiply the 1/3 into both terms:

Answer 85

i though when simplifying you would add the 4 to both sides

Answer 86

6x 1/3 is 2

Answer 87

= 1/3 ( -x + 6 )
Next, Multiply the 1/3 into both terms:
= -x/3 + 2

Answer 88

ok i understand that but where did the one go and why is it -x/3

Answer 89

any number is multiplied by one is itself!
In other words, multiply by 1 is doing nothing :/

Answer 90

2 times 1/3 is 0.66

Answer 91

2 * 1/3 = 2/3

Answer 92

2 stays the same!

Answer 93

i did with a calculator my bad and how does 2 stay the same

Answer 94

Because multiplied by 1

Answer 95

wait all you did was multiply 2 by one right

Answer 96

i get it

Answer 97

so is that it ?

Answer 98

= 1/3 ( -x + 6 )
Next, Multiply the 1/3 into both terms:
= -x/3 + 2
Do you understand DISTRIBUTION now???