Question

for the pair of points do the following:
(1,4) ; ( 0,1)
A. write and equation if the line in point slope form
B. write equation in standard form
C. write equation in slope intercept form

Answer 1

A. Do you know the point slope form?

Answer 2

no could you explain it

Answer 3

You will need to know the slope form and the point slope form

Answer 4

Ok so first you need to find the slope.

Answer 5

i known y = mx + b

Answer 6

\[Slope = \frac{ y _{2} - y_{1}}{ x_{2}-x_{1} }\] so plug in from the points you are given.

Answer 7

so would it be 1-4 over 0-1?

Answer 8

yes

Answer 9

then i get -3/-1 which = 3

Answer 10

correct, now for A. you need to write an equation in point slope form
Point Slope form = \[y-y_{1}=m(x-x_{1})\]
Where m = slope

Answer 11

would y2 be y or y1?

Answer 12

no, y is just y, keep it as y, do not plug in anything for y or x, ONLY for y1 and x1

Answer 13

oh okay so it would be y-4 = 3 (x-1)

Answer 14

yes now just distribute the 3 and you're done with part A! :D

Answer 15

yay now on to part b :)

Answer 16

Ok so part B, Standard form is \[Ax + By = C\]

Answer 17

You use the Point slope form

Answer 18

how?

Answer 19

You can solve for y

Answer 20

Look, can you see what I did here?

Answer 21

I dont understand

Answer 22

At first it looks like I was solving for y, then I shifted the y to the other side in order to get it in standard form.

Answer 23

Ok so take the point slope from part A

Answer 24

oh okay i saw the picture

Answer 25

Do you understand it now?

Answer 26

yes

Answer 27

Ok so Part c, slope intercept form, this one is easy. y=mx + b

Answer 28

You take the point slope form and solve for y which we already did in step c

Answer 29

I mean in step B*

Answer 30

y = 3x-1?

Answer 31

Yes woohoo :D

Answer 32

yayy thank you!

Answer 33

You're very welcome :)

Answer 34

Do you know how to use matrices?

Answer 35

hmm I'm not quite sure, but let me see the question

Answer 36

ok

Answer 37

Solve each system by using matrices

x + 2y - z = -1
x - 4y - z = -4
2x - 2y + 3z = 15

Answer 38

Well, here is a helpful site http://www.mathsisfun.com/algebra/systems-linear-equations-matrices.html

Answer 39

thank you