Question

What is the slope of a line that passes through the point (−2, 3) and is parallel to a line that passes
through (3, 7) and (−2, −8)?
One solution of the equation 2x
2 − x − 10 = 0 is . What is the other solution?
Given the function g(x) = −4x + 5, find g(−4)
3 questions I need help on if anyones willing to help.

Answer 1

The other solution is 5/2, and Id prefer if anyone would walk me through it instead of giving me the answer.

Answer 2

I got 15/5

Answer 3

The negatives should cancel out since both the numerator and denominator are negative

Answer 4

For which one?

Answer 5

Slope=(y2-y1)/(x2-x1)

Answer 6

For the lines to be parallel, both equations have the same slope, thus they never touch

Answer 7

^For Question #1

Answer 8

ok

Answer 9

I really dont understand

Answer 10

Which part?

Answer 11

so im finding the the parallel line instead of the slope?

Answer 12

well, you're finding the slope of the line, which happens to be parallel to another line

Answer 13

So to find the slope I find the parallel first and then what?

Answer 14

Do you know how to find the slope with two points?

Answer 15

no. Thats why I asked whoever would help me to walk me through it

Answer 16

okay

Answer 17

slope w/ two points can be found doing (y2-y1)/(x2-x1)
In this case x1=3, y1=7, like point (3, 7) and x2 = -2 and y2= -8 like (−2, −8)

Answer 18

That gives you (-8-7) *y2-y1* divided by (-2-3) *x2-x1*

Answer 19

Does this make sense?

Answer 20

ok so then its -15/-5= 3. Right?

Answer 21

Right!

Answer 22

oh ok!

Answer 23

lol do you get the parallel line & slope relation?

Answer 24

^ Parallel lines have the same slope

Answer 25

yes I do ty. And on the others?

Answer 26

K

Answer 27

for number 3, when you see g(-4), it means you substitute (-4) in for any x values in the equation

Answer 28

oh! ok! I thought it ment to replace the g

Answer 29

yeah, it's a little confusing lol

Answer 30

If you put in the values, you should get 21 for #3

Answer 31

I got that but what do I do with the -4 by the g? (or does that dissapear?)

Answer 32

Technically, it disappears because it means only when x=-4

Answer 33

ok

Answer 34

but you could leave g(-4)

Answer 35

ok. and the last one?

Answer 36

what's one of the solutions for #2? The question kind of ends mid-sentence

Answer 37

the solution thats given is 5/2.

Answer 38

hmm one sec

Answer 39

This one's hard -.-'

Answer 40

I got it!

Answer 41

So, since the equation is a polynomial, you can factor the equation

Answer 42

ok

Answer 43

do you know how to factor or do you want a walkthrough for it?

Answer 44

@xNoahx?

Answer 45

um Im not 100% sure

Answer 46

on factoring that is

Answer 47

all right

Answer 48

in factoring, you want to make two binomials that, when multiplied, equal to 2x 2 − x − 10 = 0

Answer 49

how would you do that?

Answer 50

To start, you know that one set has to be (2x+ or -) and (x+ or -)

Answer 51

ok so am I changing the x? Or am I finding a number to add/subtract the other numbers by?

Answer 52

do you know the FOIL method (first outer inner last) of multiplying?

Answer 53

yes I do. but how would I use that in this equation?

Answer 54

okay, to get the leading 2x^2, you multiply the first term of the two binomials

Answer 55

the only way to get 2x^2 would be by having 2x in one binomial and x in the second

Answer 56

ok so It would be (2x+-#) (x+-#)?

Answer 57

yup

Answer 58

but where do we get the number from?

Answer 59

to find the # numbers, you have to find two number that, when multiplied by eachother, they equal 10

Answer 60

so 2 and 5?

Answer 61

yeah

Answer 62

that gives you (2x-5) and (x-2)

Answer 63

ok so i would be (2x+-2) (x+-5)?

Answer 64

oh ok

Answer 65

I got 2x2-4x-5x-10

Answer 66

so, each equation, by default, is set to 0,
so it's 2x-5=0 and x-2=0

Answer 67

oh

Answer 68

one sec

Answer 69

you said foil so I did that. was that wrong?

Answer 70

no you're right

Answer 71

I might have made a mistake. I'll check again

Answer 72

ok so I add together -4x and -5x right?

Answer 73

okay, the two binomials are x-2 and 2x+ 5 (not -5)

Answer 74

oh oops

Answer 75

lol no my fault

Answer 76

so its 2x2-4x+5x-10?

Answer 77

Shoot

Answer 78

-.-' I messed up again. It's really (2x-5) and (x+2).

Answer 79

oh ok

Answer 80

sorry about that :(

Answer 81

so its 2x2+4x-5x-10?

Answer 82

?
It should be 2x^2+4x-5x-10

Answer 83

thats what I put XD

Answer 84

-.- I'm losing it, aren't I?

Answer 85

XD its ok! so I add together 4x and -5x?

Answer 86

yeah, it simplifies to -x, like the equation

Answer 87

like before, you set each equation to 0, so it's 2x-5=0 and x-2=0

Answer 88

then, you solve for x

Answer 89

so its 2x2-x-10=0?

Answer 90

yup

Answer 91

is it x=2x2-10?

Answer 92

not quite

Answer 93

oh...

Answer 94

2x-5=0 and x-2=0 give you the answers x= 5/2 and x= 2

Answer 95

oh...

Answer 96

when you get the 2 binomials of the equations, you use those to find x's solutions

Answer 97

ok ty!

Answer 98

No problem! I'm glad you get it ^^