Question

Write the standard form of the equation of each line passing through P with slope m.
P(subscript 1)=(4,-5); P(subscript 2) = (11,2)

Answer 1

\[P _{1} = (4, -5); P _{2} =(11,2)\]

Answer 2

move it all by placing P1 at the origin ....

Answer 3

move a points by doing the same thing to each one

4, -5 11, 2
-4 +5 -4 +5
---------------
0 0 7 7

so the line is parallel to the this one thru the origin

Answer 4

<y> = <x> , such that <y> = y-5, and <x> = x+5 to account for moving all the points of the original line by the same amount

Answer 5

then just put it into standard form: Ax + By = C

Answer 6

@amistre64
I am totally new to this stuff so can you like be as simple as possible? thanks

Answer 7

well the answer amistre is right... the formula is correct and gt the same answer as him

Answer 8

moving points is the simplest way to go. its either that or you can try to remember a formula that just tells you to do the same thing

Answer 9

spose you have 2 points: (x1,y1) and (x2, y2) ; move the points by x1,y1

(x1, y1) and (x2, y2)
-x1 -y1 -x1 -y1
--------------------
0 0 x2-x1, y2-y1 , define the slope by y/x

\[slope=\frac{y_2-y_1}{x_2-x_1}\]

then the point slope formula is created as: (y-y1) = slope(x-x1), which is simply subbing in the movements for <y> and <x>

Answer 10

since the slope is 7/7 = 1

<y> = 1<x>, or (y-4) = (x+5)

y-4 = x+5

-x + y -4 = 5

-x + y = 9

and since they dont like a negative x, multiply thru by -1

x - y = -9

Answer 11

since i tend to mess up trying to put values into a formula; and if you dont put them inthe right place you tend to mess up the whole thing ... i just work it the sensible way :)

Answer 12

well theres a lil prob with the last part on the equation u jus did

Answer 13

lets test it then

x - y = -9
4 -5

x - y = -9
11 2

yeah, i misplaced a negative along the way

Answer 14

(x1, y1) and (x2, 2)
-x1 -y1 -x1 -y1
--------------------
0 0

ok i understand this part but on the other side i am confused on (that right side)

Answer 15

whats ur point of confusion???