Question

Find equation of slope and graph: m=2 (3,5) would the answer be 5=2(3)+b?

Answer 1

point slope form:
\[(y-y_1) = m(x-x_1)\]

Answer 2

m is the slope. (x1,y1) is the coordinates.
just plug in the given values

Answer 3

So it would be (y-5)=2(x-3?

Answer 4

So y-5=2x-6

Answer 5

simplify further by combining the constant terms

Answer 6

y=2x-1?? (:

Answer 7

yep.
if you wanted to have the equation in slope-intercept form, then that's already the answer but if you wanted to have it in standard form then it will be in the form : Ax+By+C=0

Answer 8

Okay, may I go over another one with you real quick? (:

Answer 9

sure

Answer 10

Wait first I have to check the ordered pair for the last problem.. How do I check ordered pairs?

Answer 11

Oh never mind!

Answer 12

say for the question above, all you have to do is plug in the value of x to the equation. check the value of y if it corresponds to the y-coordinate of the given point

Answer 13

Got it (: So the other one I was going to go over with you is m=2 (-4,-6)

Answer 14

Soooo.. (y+6)=2(x+4) ???

Answer 15

Then y+6=2x+8

Answer 16

yep.

Answer 17

go on

Answer 18

combine the constant terms

Answer 19

So it would be.. y=2x+10!

Answer 20

recheck the value for constant

Answer 21

Oh wow... Lol oops. y=2x-2

Answer 22

check the sign of the constant xD

Answer 23

+ oops haha

Answer 24

so the equation would be
y = 2x +2

Answer 25

Yes got it!(: Now I'm going to try one on my own and see if I'm right one second (:

Answer 26

Okay so for m=2/5 (3,1) I got the equation y=0.4x-.2

Answer 27

@shinalcantara What is the standard equation of line??

Answer 28

According to me it is :

\(ax + by = c\)

Answer 29

Ax+By+C=0

Answer 30

No, that is Shinalcantara Equation of line.. :P

Answer 31

hi prrreeeeeeetttttt!!!!! =) :)

Answer 32

Hi Sheeeenaaaaaaaaaaaaa... :P

Answer 33

:) @waterineyes what are you gonna say to msbambigirl? would you want that equation to be in decimal? O_O

Answer 34

Which equation??

Answer 35

I figured it out haha(: I need help with m being undefined and coordinates being (-2,4)!

Answer 36

y=0.4x-.2 that one up up up

Answer 37

I only said that \(ax + by + c = 0\), you said it is Standard Form but actually it is not..

Answer 38

@msbambygirl "Okay so for m=2/5 (3,1) I got the equation y=0.4x-.2"
can you express that not in decimal?

Answer 39

No o:

Answer 40

O_O what's the standard form of the line then? @waterineyes

Answer 41

It is : \(ax + by = c\) :)

Constant term on Right Side and coefficient of \(x\) should be positive.. :)

Answer 42

I need help on a different one ;-;

Answer 43

\[(y-y_1) = m(x-x_1)\]
\[(y-1) = \frac{ 2 }{ 5 }(x-3)\]
\[3(y-1)=2(x-3)\]
3y - 3 = 2x - 6
3y - 2x = -6 + 3
3y - 2x = -3 -----in standard form
would this be correct @waterineyes O_O

Answer 44

@msbambygirl for m to be undefined, the change of x must be zero

Answer 45

So it would be (y-4)=0(x+2)??

Answer 46

No that is not correct.. :P

Answer 47

I said, the coefficient of \(x\) should be positive, and not of \(y\).. :P

Answer 48

\(2x - 3y = 3\), This looks fine.. :)

Answer 49

O_O

Answer 50

O--O

Answer 51

@msbambygirl for the line to have an undefined slope, it should be a vertical line
in that case, the value for your x-coordinate will be constant while that of y is infinity

Answer 52

So how would I even write that?

Answer 53

For slope of line as Undefined, y can take any value..

But, the value of \(x\) will remain same for every \(y\)..

Answer 54

So, the equation of line with having slope undefined is written as :

\(x = k\)

Answer 55

\(k\) is the \(x\) coordinate from where the line touches x-axis.