Question

@Michele_Lanio and @TheSmartOne can y'all help me please? Thank you.

Answer 1

@Michele_Laino and @TheSmartOne

Answer 2

@mathstudent55 can you help me?

Answer 3

If you can show me how to do it to what would be great!

Answer 4

I meant to put also between can and show

Answer 5

what is your first question?

Answer 6

ok! do you need to know the slopes of your lines?

Answer 7

The question is "find the slopes of the following images" (all the ones with a red line)

Answer 8

your first line passes at point A(1,0) and B=(0,2), so the slope is:
(2-0)/(0-1)=...?

Answer 9

-2

Answer 10

@Michele_Laino where did you go?????

Answer 11

ok!

Answer 12

now, the second line passes at point (0,3) and (3,0), so its slope is:
(0-3)/(3-0)=...?

Answer 13

@Michele_Laino sorry I had to leave the house can you help me?

Answer 14

yes!

Answer 15

Thank you so much! You are a life saver!!

Answer 16

On the second one it's -1, correct?

Answer 17

yes!

Answer 18

Okay and on the third one the equation would be (0-2)/(2-0), correct?

Answer 19

the third line passes at point O=(0,0) and at point A=(3,2)
so its slope is:
(2-0)/(3-0)=...?

Answer 20

I got 0.666666667. Would that be 2/3?

Answer 21

Or 3/2 or 3 or -2/3

Answer 22

2/3 is right!

Answer 23

Okay great!!

Answer 24

And for the fifth one it would be undefined, correct? Because the answer is 5.

Answer 25

I mean fourth.

Answer 26

fourth question:
the line passes at point (-4,1) and (0,1), so its slope is:
(1-1)/(0+4)=...?
please note that I have always applied this formula:
\[slope = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]
where (x_1,y_1) and (x_2,y_2) are the points provided by the exercise

Answer 27

If you have applied that formula then why is it "(0+4)"

Answer 28

because we have:
0-(-4)=0+4

Answer 29

oh ok

Answer 30

0?

Answer 31

that's right!

Answer 32

Now for the last two?

Answer 33

I will re-post it for you

Answer 34

exercise #5
here we have to write this equation:
y=ax+b
where a, and b are two coefficients, whose value has to be determined as below.

Answer 35

Huh? Sorry I don't understand what you just said.

Answer 36

let's consider this equation:
y=a*x+b
is it ok?

Answer 37

Yes

Answer 38

But how would you figure out what a, x, and b are?

Answer 39

now, if we set x=0 and y=-4 ( iread those values from your table), I get:
-4=a*0+b
-4=0+b
-4=b

b=-4

Answer 40

oops..I read...

Answer 41

What, why oops?

Answer 42

because I wrote iread

Answer 43

Ohhh okay, sorry. Can we do the next one please

Answer 44

ok!
if we set x=1, and y=-3 (as usual I read those values from your table), I get:
-3=a*1+b
-3=a+b
-3=a-4, since b=-4
a=1

Answer 45

substituting those values, we get:
y=x-4
so the requested slope is 1

Answer 46

@Michele_Laino on 5 or 6?

Answer 47

Sorry, @Michele_Laino my computer crashed

Answer 48

that was the answer to exercise #5

Answer 49

now, exercise #6 second question.
here we write this equation
y=a*x+b
namely the same procedure of the exercise #5

Answer 50

ok?

Answer 51

@I_love_my_nieces

Answer 52

Sorry I'm back I had to use the restroom

Answer 53

So number five's answer is 1?

Answer 54

yes!

Answer 55

1 or -1?

Answer 56

1

Answer 57

okay now how about 6

Answer 58

as I wrote above, we have to consider this equation again:
y=a*x+b

Answer 59

Okay

Answer 60

now, if we set x= 0 and y= -1 (as usual I read those values from your table), we get:
-1=a*0+b
-1= 0 +b
-1= b

so:
b=-1

Answer 61

But the options are
1.) -5
2.) -3
3.) -1/3
4.) 3

Answer 62

we have the coefficient b, please keep in mind that the requested slope is given by the value of the coefficient a

Answer 63

oh okay so my guess would be 3 or -3

Answer 64

if we set x=-1 and y=-4, then we get:
-4=a*(-1)+b

-4=-a+(-1), since b=-1

so:
-4=-a-1
a=-1+4
a=3

Answer 65

so the requested slope is a=3
and the equation of your line is:
y=3x-1

Answer 66

Okay thank you so much

Answer 67

thank you!

Answer 68

I a little bit I might need your help again would you be willing to help me???

Answer 69

*in

Answer 70

I'm sorry I have to go to sleep, since it is 2:40 a.m. (Italy time zone)

Answer 71

Oh my I'm so sorry to keep you up!

Answer 72

no worries :)

Answer 73

Sleep good Lanio! :)

Answer 74

thanks! :) @I_love_my_nieces

Answer 75

No problem! Well you get some sleep okay!