Question

5 related algebra questions
need help!
will fan and medal please help,

Answer 1

Graph the coordinates of the specifics points in space your spacecraft will travel to.
I have already done this... and they are Launch Area:___(1, 2)___
Point A:___(0, 3)___
Point B:___(-3, 0)___
Point C:___(-1, -4)___

You must show your work on each question below.
Determine the equation of the line, in standard form, that will get your spacecraft from the Launch Area to Point A.

Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.

Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.

Convert the equation you arrived at in question 2 into slope-intercept form. Make sure to include all of your work.

Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.

Answer 2

here is the graph i made

Answer 3

@greenglasses are you here?

Answer 4

Sorry I was away.

Answer 5

Just use the equation \[\frac{ y-y1 }{ x-x1}\] to find the slope of the lines, then plug that value (m) into the equation\[y- y1 = m(x-x1)\] to find the equation fo the line.

Answer 6

thanks! no problem!

Answer 7

Okay so for the first question, its 2-3/1-0 = -1/ 1 for m ?

Answer 8

Yes. Alternately, you could always just read it off the graph, but knowing the equation is good in the long wrong.

Answer 9

*run

Answer 10

okay great! i can do that for the rest of the problems, about the last...
"Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences." What is it really talking about?

Answer 11

Unlike a regular line, you want your lines to go from a certain point to another certain point, right?

Answer 12

Wouldn't that mean you need to restrict the domain and range to make sure that you don't go past those certain points?

Answer 13

I think so... so I would need to restrict the domain and range so the "object" or point will not drift off to far? (pretending the point was a space object)

Answer 14

Pretty much :)

Answer 15

Okay great! so for the first problem after I got m do I just plug the numbers from the coordinates back in and m and then i will get the answer from there?

Answer 16

Yes, then rearrange to make it standard form. Oh, but you only have to plug in the numbers for one coordinate (the x1, y1 one).

Answer 17

ohh okay, so for 1 it would be y -2 = 1/-1(x-1) ? simplified?

Answer 18

1 divided by -1 is just -1

Answer 19

But yes.

Answer 20

great! i got y=−1x+3
thanks! i think I got it from here!!

Answer 21

woah y= -1 x +3

Answer 22

Looks good to me. You can double check with this if you want https://www.desmos.com/calculator

Answer 23

thank you!

Answer 24

Np.