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Mathematics 12 Online
OpenStudy (tanabugg):

What is the slope of the line that passes through the points of (4,2) and (4, -3)? a. -1 b. 0 c. 1 d. undefined

OpenStudy (3mar):

May I help?

OpenStudy (tanabugg):

Sure!

OpenStudy (3mar):

Thanks. I hope that helps!

OpenStudy (skullpatrol):

Graph the two given pionts and draw a straight line through them.

OpenStudy (skullpatrol):

The slope a vertical line is ?

OpenStudy (tanabugg):

Hold on give me a sec to graph them

OpenStudy (skullpatrol):

Sure.

OpenStudy (tanabugg):

Okay I'm thinking it's either a or b

OpenStudy (skullpatrol):

What does your graph look like?

OpenStudy (tanabugg):

Oh wait it'd be b!!

OpenStudy (skullpatrol):

Why?

OpenStudy (skullpatrol):

A slope value of zero would be for a horizontal line.

OpenStudy (skullpatrol):

Is your line horizontal?

OpenStudy (tanabugg):

Vertical

OpenStudy (skullpatrol):

All vertical lines have undefined slope.

OpenStudy (tanabugg):

oh

OpenStudy (tanabugg):

That's what it looks like

OpenStudy (skullpatrol):

Very good. That is the correct graph.

OpenStudy (tanabugg):

Yay! Okay so all vertical lines are undefined

OpenStudy (skullpatrol):

Yes, exactly all vertical lines have undefined SLOPE.

OpenStudy (tanabugg):

Oh okay! Could you help with a few more?

OpenStudy (skullpatrol):

Sure.

OpenStudy (tanabugg):

What is the slope of a line that passes through (-2, 5) and (1,4)? a. -3 b. -2 c. -1/3 d 1/3

OpenStudy (tanabugg):

I already have it graphed and it's like a diagonal line

OpenStudy (skullpatrol):

Here you need to use the slope formula.

OpenStudy (tanabugg):

Here it is

OpenStudy (skullpatrol):

From the graph we can tell that the slope is negative because it slopes downward from left to right.

OpenStudy (tanabugg):

Right. So we can rule out D

OpenStudy (skullpatrol):

Yes.

OpenStudy (skullpatrol):

$$\huge slope = \dfrac{y_2-y_1}{x_2-x_1}$$

OpenStudy (tanabugg):

Okay so I got 3/6

OpenStudy (tanabugg):

Which simplifies to 1/2. But I think I did something wrong bc 1/2 isn't an answer

OpenStudy (skullpatrol):

Try again please.

OpenStudy (tanabugg):

I got the same answer

OpenStudy (tanabugg):

Are those numbers for the formula exponents?

OpenStudy (skullpatrol):

No.

OpenStudy (tanabugg):

Okay that's what I thought

OpenStudy (skullpatrol):

They just label the points as 1 and 2

OpenStudy (tanabugg):

Oh well that's where I went wrong

OpenStudy (skullpatrol):

An exponent is a raised number. These are lowered and read as "sub 1" and "sub 2."

OpenStudy (tanabugg):

-3

OpenStudy (skullpatrol):

Try again please.

OpenStudy (skullpatrol):

Rise over run

OpenStudy (skullpatrol):

Difference between y-coordinates / difference between x-coordinates

OpenStudy (tanabugg):

For that I got -3/1

OpenStudy (skullpatrol):

through (-2, 5) and (1,4)? 4 - 5 ------ 1 - (-2)

OpenStudy (skullpatrol):

through (-2, 5) and (1,4) Point 1 = (-2, 5) and Point 2 = (1,4)

OpenStudy (skullpatrol):

$$\huge (x_1,y_1)$$ $$\huge(x_2,y_2)$$

OpenStudy (tanabugg):

oh! so it's -1/3

OpenStudy (skullpatrol):

You got!!! :-)

OpenStudy (tanabugg):

Thank you so much for being patient with me. I didn't sleep last night so I'm kind of out of it today

OpenStudy (skullpatrol):

You need to be alert to do this stuff.

OpenStudy (tanabugg):

Yes. You're right

OpenStudy (tanabugg):

Thank you !

OpenStudy (skullpatrol):

Thanks for trying to understand.

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