Question

Does the point you select matter when your write a point-slope equation? Explain your reasoning using complete sentences.

Answer 1

@jim_thompson5910

Answer 2

@DebbieG

Answer 3

annyone?

Answer 4

What do you think? Does it matter what point you use?

Try a couple of examples. Use a simple line, like say, y=x+1

m=1

Now pick two different points (you can do this by choosing an x, and computing the y).

Lets say: (1, 2) and (2, 3)

Using the first point, the point-slope form is:

y-2=1(x-1)

Using the 2nd point, the point slope form is:

y-3 = 1(x-2)

is the equation for the line any different? if you solve for y, do you have the same equation?

Answer 5

i solved for sum problems already and my final answer was " yes it does matter because depending on the slope and the points the answer will come out to be different" ????

Answer 6

Well, show your work for those where you found it to be different, and we can determine where you went wrong.

The equation for a line, is the equation for the line. The POINT chosen to cook up the equation does not change the equation. There is only ONE equation for any given line (if it's in y=mx+b form, that is).

The equation is unique,, given the slope and y-intercept, so it can't depend on which points you choose to computer it.

Answer 7

i selected (2,4) and (3,4) and i came up with this answers

y=x+1
y=x+1

Answer 8

thats point slope form and then next question was

Does the point you select matter when your write a point-slope equation? Explain your reasoning using complete sentences.

so im guessing it doesnt matter what point you select the answer would be the same?

Answer 9

Now hold on a second. You "selected" (2,4) and (3,4) how? what is the equation for the line that you are using? Those two points are NOT on the line y=x+1, only the SECOND one is.

Answer 10

If you are using my example, then (2,4) is NOT on that line. If x=2, y=3 when the equation is y=x+1

Answer 11

nono im using my example. my points are (2,3) and (3,4) and the quations are

y-4+1(x-3)
y-3=1(x-2)

Answer 12

after that i came up with this answers

y=x+1
y=x+1

Answer 13

i came up wit another answer to the actual question "no, the point doesnt matter when youre writing a point slope equation as long as the point lay in the same line" ???

Answer 14

Yes, that's correct. Those two points (not the ones you originally stated) are both on the line y=x+1. As you can see, regardless of the point you use in the formula, the equation for the line will be the same.

Answer 15

so my answer is correct right!? "no, the point doesnt matter when youre writing a point slope equation as long as the point lay in the same line" thank you!

Answer 16

@DebbieG

Answer 17

Yes, that's correct. As I said above. :)

Answer 18

thank you!

Answer 19

you're welcome :)

Answer 20

last question can you please hem me with this one?

Explain, using complete sentences, why it is important to understand any limitations on the domain and range

and sorry i was shoering