Find the coordinates of three more points that lie on the line passing through the points (0, 0) and (3, -4). Explain your method.

All you need to know here is that the slope of the line contains a set of directions that allow you to start from a point that lies on a given line and find other points that lie on the same line.

So, you know that a given line has a slope of

m

=

1

2

As you know, the slope of a line is defined as the change in  

y

, or  

Δ

y

, divided by the change in  

x

, or  

Δ

x

m

=

Δ

y

Δ

x

Now, you know that the point  

(

7

,

−

2

)

lies on this line. The change in  

y

tells you the number of positions that you must move up on the  

y

axis in order to find the  

y

-coordinate of another point that lies on the line.

Similarly, the change in  

x

tells you the number of positions that you must move to the right on the  

x

axis in order to find the  

x

coordinate of another point that lies on the line.

In this case, you have

m

=

1

2

⇒

{

Δ

y

=

1

Δ

x

=

2

So, if you start at  

x

=

7

, you must move  

2

positions to the right to find

x

2

=

7

+

2

=

9

Similarly, if you start at  

y

=

−

2

, you mus move  

1

position up to find

y

2

=

−

2

+

1

=

−

1

Therefore, a second point on the given line is  

(

9

,

−

1

)

.

Now here comes the cool part, You can use multiples of the slope to find additional points by starting from the same point  

(

7

,

−

2

)

. For example, you have

m

=

1

2

=

2

4

This means that you will get

{

x

3

=

7

+

4

=

11

y

3

=

−

2

+

2

=

0

⇒

(

11

,

0

)

is another point that lies on the line

Similarly, you can also have

m

=

1

2

=

−

1

−

2

In this case, you're moving  

2

positions to the left for  

x

and  

1

position down for  

y

.

This means that

{

x

4

=

7

+

(

−

2

)

=

5

y

4

=

−

2

+

(

−

1

)

=

−

3

⇒

(

5

,

−

3

)

is another point that lies on the line

Therefore, you can say that  

(

5

,

−

3

)

,  

(

7

,

−

2

)

,  

(

9

,

−

1

)

, and  

(

11

,

0

)

are all points that lie on the given line.

To double-check the result, use one of the points to write the equation of the line

(

y

−

y

4

)

=

m

⋅

(

x

−

x

4

)

y

−

0

=

1

2

⋅

(

x

−

11

)

y

=

1

2

x

−

11

2

The line looks like this

graph{1/2x - 11/2 [-10, 10, -5, 5]}

As you can see, all the points that we've found lie on the li

Step-by-step explanation:

i dont know

step-by-step explanation:

why didnt you study

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation: