Question

A line has a vertical change per unit of horizontal change of negative five-fourths and passes through point two comma two. Which is another point on the line?

Answer 1

@ParthKohli

Answer 2

@ParthKohli @Prince1342

Answer 3

@ParthKohli

Answer 4

@RadEn

Answer 5

Hi! Have you heard the term "slope" in the context of a line?

Answer 6

Well, never mind. You won't need it.

Answer 7

It is given that (2,2) is a point on the line.

If x increases by 1, then y increases by -4/5. That is what this question means.

Answer 8

?? I don't get it. How do I find the answer?

Answer 9

sorry, let me explain it now. I was on another question.

Answer 10

Ok

Answer 11

"A line has a vertical change per unit of horizontal change of negative five-fourths"

Let's focus on what this means for a moment.

Answer 12

so this statement means this:

if there is a horizontal change of 1 on the line
then
there is a vertical change of -5/4 on the same line

Answer 13

horizontal means the x axis, right?

Answer 14

Hmm

Answer 15

Yeah, but how do you find the answer?

Answer 16

I'm sorry, I must go now.

Answer 17

Ok...

Answer 18

@sean_davis0821 Do you know?

Answer 19

Sorry I'm really bad with those kind of problems @AnswerMyQuestions

Answer 20

Oh, Okay.

Answer 21

Sorry again

Answer 22

It's Ok.

Answer 23

this is pretty obtuse language :

"A line has a vertical change per unit of horizontal change of negative five-fourths "

what it is saying is change in y is -5/4 and change in x is 1
change in y divided by change in x is SLOPE of the line
-5/4 divided by 1 is -5/4 (anything divided by 1 is itself)
that means slope is -5/4

the equation of a line in point slope form is

y - y0 = m(x - x0) where m is slope and (x0,y0) is a point on the line

Answer 24

they tell you the line
" passes through point two comma two. " meaning (2,2) is a point on the line.

you can write down the equation of this line, using (2,2) = (x0,y0) and m= -5/4

put those numbers into the formula
y - y0 = m(x - x0)

can you do that ?

Answer 25

I don't know.

Answer 26

if you are given a formula y = A*x
and are told A=3. you should erase the A, and put 3 in its place to get y = 3*x

Answer 27

here you start with a formula
y - y0 = m(x - x0)
and are told m= -5/4

replace the m with -5/4 in the formula. can you do that ?

Answer 28

y - y0 = -5/4(x - x0)

Answer 29

yes. also (x0,y0) is (2,2)
that means x0=2 and y0=2.
can you replace x0 and y0 in the formula
y - y0 = -5/4(x - x0)

Answer 30

y - 2 = -5/4(x - 2)

Answer 31

yes, and that is the equation of a line in point slope form.
you can use it to find other points on the line.

Are you given a list of points as possible answers or do you just have to find another point on the line ?

Answer 32

I have choices.

Answer 33

in that case we can replace x and y with the numbers in a choice, and see if it works in the equation

Answer 34

The choices are (-3,6), (-10,8), (8,-10), and (6,-3)

Answer 35

@phi What next?

Answer 36

try the first choice (-3,6). (-3,6) is short for x= -3 and y=6
we use those numbers for x and y in your formula
y - 2 = -5/4(x - 2)

replace y with 6
6 - 2 = -5/4 (x - 2)

replace x with -3

6 -2 = -5/4 ( -3 - 2)

can you simplify both sides ? on the left you get 6-2 = ?

Answer 37

6 - 2 = 4

Answer 38

ok so we have
4 = -5/4 ( -3 - 2)

can you simplify the right side ? -3 - 2 is - 5
4= -5/4 * -5

now finish the right side. what do we get ?

Answer 39

6 1/4

Answer 40

@phi

Answer 41

and 4 does not equal 6 ¼
choice A is NOT the answer.

Answer 42

to answer this question we have to be good at arithmetic.
test the last the choice. can you do that ?

Answer 43

I'll try.

Answer 44

y - 2 = -5/4(x - 2) and (6,-3)