Question

HELP? WILL FAN AND MEDAL!

Answer 1

@Directrix @Elsa213 @Acannell

Answer 2

I believe that you posted this very same question just a few minutes ago. I responded and gave you some suggestions. What happened to that discussion?

Answer 3

@imqwerty

Answer 4

Draw (on paper or in the Draw utility) the figure ABCD.

Now draw a straight line connecting points A and C.

Answer 5

You are to find the slope of AC. First, the "run." How far is it from the origin (A) to point D? This information IS given, altho' not in numeric form.

Answer 6

(0,0) and (a,a) @mathmale

Answer 7

Actually, you're finding the horizontal distance from Point A to Point D.
\
By how much does x increase as you travel from A to D? It's given. Look inside the parentheses ( ).

Answer 8

@mathmale (a,0)?

Answer 9

You're giving me a point. I just wanted you to see and share the distance from A to D.
The variable x changes from 0 to a as you travel from A to D.
Does this make sense?
Thus, the "run" is simply "a."

Answer 10

(a,0) is the same thing as point D.

How far is it from A to D?

Answer 11

I'm not sure, how am I suppose to tell?

Answer 12

You're giving me a point. I just wanted you to see and share the distance from A to D.
The variable x changes from 0 to a as you travel from A to D.
Does this make sense?
Thus, the "run" is simply "a."

Answer 13

x changes from 0 to a as you travel from A to D. Thus, the "run" is a.
This is the distance from A to D.

Answer 14

now the rise?

Answer 15

What is the vertical distance from D to C? from C to D?

Answer 16

We focused on "x" before. NOW, focus on "y" and ignore the "x" values as you travel from C to D or D to C.

Answer 17

0?

Answer 18

It's not 0. Hint: Label point C as (a,a).
Do that on your drawing.

Answer 19

What is the vertical distance from D(0,a) to C(a,a)?

Answer 20

a?

Answer 21

Yes, that's correct.

Again, slope = rise over run.

As you travel from A to C,

What is the rise?
What is the run?

What is the slope, rise / run ?

Answer 22

\[slope=m=\frac{ rise }{ run }=?\]

Answer 23

run was a and rise was 0?

Answer 24

How did you get "rise = 0?" That contradicts our discussion. Review our focus on "distance from D to C."

Answer 25

You got that right, earlier.

Answer 26

So it is a over a?

Answer 27

Yes, and (a/a) simplifies to ????? and that is your slope, the slope of the line from A to C.

Answer 28

1

Answer 29

So, AC = 1?

Answer 30

Yes, that is the slope of the (invisible) line segment connecting points A and C. Very nice.

I see what you're trying to say. AC isn't quite right. What AC means here is "line segment from A to C." That's not what was called for.

Rather, you wanted to find the SLOPE of the line AC. We have already discussed that.
That slope is m=1.

Answer 31

"slope of line segment AC" = 1

Answer 32

It'd be even better if you wrote

Answer 33

What is your final answer?