A ball is dropped from the top of a 15-foot tall staircase. Write an equation for the height h of the ball t seconds after it is dropped. Find the time it takes for the ball to reach the ground?

Hello there!

I can help you get started with #5! :)

y = 3x + 9

aka y = mx + b

Look familiar? :)

So, let's break it down!

9 = your "y" (b)
3x = your slope (also known as m)



1). Graph b first!

So b will be graphed on the y axis! (Up and down).

Graph a point at (0,9). ( 9 straight up ).

2). Let's break down the slope!

3x is the slope.

3 is also 3/1.

So what does this mean?

Well:

m = (y2-y1) / (x2-X1)

What does this have to do with graphing? It means that your slope is y/x!

So 3x --> 3/1 --> 3 up and 1 to the right! (Positive direction).

- so simply go to the point you graphed before (0,9).
-go 3 up and 1 to the right!
-keep doing this for 2-3 more points. Anything is fine. :)

-connect the dots!

And that's all there is to it! :)

Just remember:
1). Out everything is slope-intercept form
(y = mx + b ).
2). Graph b first, then your slope.
3).
Up & right = positive

down & left = negative



Hope this helped! :)

P.S. If you need extra help with this, I highly recommend searching this up and watching a Khan Academy video! :)


DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!