Question

Can someone check my work?
Graphing Equations/Slope

Answer 1

I just want to make sure I plotted the points correctly.

Answer 2

@triciaal

Answer 3

Nope, try again please.

Recall you need TWO pionts to graph a line.

Answer 4

Okay, the first one y=3x-4 would that be on the -4 point?

Answer 5

You need to label it ( x , y ).

Yes, the point ( 0 , -4 ) is on the line y = 3x - 4 because when you let x = 0 you get y = 3(0) - 4 = -4...understand?

Answer 6

I think so.

Answer 7

So for the second one, the slope is -1/3 and the y intercept is 0 so wouldn't it be just (0,0)?

Answer 8

Wait!!!
Let's finish the first please :-)

Answer 9

Ok. I'm sorry.

So the first one would just be (0,-4)

Answer 10

Yes, exactly.

We need a second point on the line, right?

Answer 11

Right. So it would be 0?

Answer 12

Sorta, but try to let y = 0 in the equation y = 3x - 4

Answer 13

So if 0=3x-4 ..

I'm not sure what to do next.

Answer 14

Solve for x.

Answer 15

Oh! Ok. Well x=4/3

Answer 16

You got it!!!

Now that gives you the second point ( 4/3 , 0 ) on the line.

Answer 17

Nope, think of 4/3 as the number 1.333

Answer 18

So now that we're done with the first problem, we gotta move over to the second.

Y=-1/3x

the slope is -1/3 and the y intercept is 0 so wouldn't it be just (0,0) for the first point.

Answer 19

Yes.

Answer 20

I just saw your above comment for (4/3) so for the first problem it would be then

Answer 21

Nope, plot ( 1.333 , 0 )

Answer 22

Recall I said the form is ( x , y )

Let x = 1.333 and y = 0.

Answer 23

I apologize for being so stupid with this.

Answer 24

Perfect :-)

Now you can draw a straight line through both pionts, right?

Answer 25

Yes

Answer 26

Good job!

The third question is the exact same idea.

Answer 27

So for the second one, the first point is 0,0 and now we need to solve for X.

Answer 28

and the second point.. when i solve for x I just get 0..

Answer 29

Indeed! This method does not work for lines that pass through the origin.

Answer 30

so what point would I put then?

Answer 31

just only one point for this one then

Answer 32

You can use the definition of slope to find a second point.

Answer 33

my slope is -1/3

Answer 34

Yes.

Answer 35

Define slope please.

Answer 36

The general direction in which a line points.
Rise/Run

Answer 37

slope = Rise/Run = -1/3

Answer 38

Rise = -1
-----------
Run = 3

Answer 39

so now, we've completed the 1st and 2nd, we gotta move onto the 3rd.

So y-3x+2, the first point would be 0,2 right?

Answer 40

Yes. ( 0 , 2 ) is one point.

Answer 41

and then when I solve for X I get -2/3
so would that be our second point.

Answer 42

Yes. ( -2/3 , 0 ) is the second point.

Answer 43

-2/3 = -0.666

Answer 44

so it should be like this then

Answer 45

Nope.

Answer 46

oh. I see, it's negative.
Opposite six

Answer 47

( x = —0.666 , y = 0 )

Answer 48

I don't understand where to put the point, I'm sorry.

Answer 49

On the x-axis 0.666 units to the left of 0.

Answer 50

so it would be like right here then.. because it's not completely 1..

Answer 51

Yes.

Answer 52

thank you, so much.

thank you thank you thank you thank you.

you didn't have to spend over an hour helping me on this.. but you did.
thank you.

Answer 53

Thank you for trying so hard to understand mathematics.

Answer 54

:)

Answer 55

Good job!!!

Work on plotting pionts in the "number plane."

:-)

Answer 56

ok. I will. thank you again @skullpatrol