Question

Help plz: Write an equation in point-slope form for the line through the given point with the given slope. (4, - 6); m = 3/5

Answer 1

point slope form is so named becasue it utilizes a point and the slope in it

Answer 2

y-Py=m(x-Px) ; where m=slope and P(x,y) attributes to Px and Py

Answer 3

You lost me on the second one :S

Answer 4

O snap forgot pic
give me a sec plz

Answer 5

all these forms are reconstructions starting at the idea of finding a slope between 2 points

Answer 6

the rest of it is just algebraing it into submission

Answer 7

Here it is

Answer 8

third one is direct application of point - slope form of a line
\[y-y_1=m(x-x_1)\] with your given point and slope

Answer 9

given 2 points; (x,y) and (Px,Py) we find the slope by subtracting one point from the other as such:

( x, y)
-(Px,Py)
--------
(x-Px,y-Py)

slope(m) is defined as y/x so:

\[\frac{y-Py}{x-Px}=m\]
by clearing the fraction we obtain the point slope form
\[(x-Px)*\frac{y-Py}{x-Px}=m(x-Px)\]
\[y-Py=m(x-Px)\]

Answer 10

now given any slope and a point; we can plug the value into the form:

m=3/5 P(4,-6)

y-Py = m(x-Px)

y--6 = (3/5)(x-4) ; and simplify

y+6 = (3/5)(x-4)

Answer 11

from the point slope form we can algebra our way to the slope intercept form:

y-Py = m(x-Px) ; expand

y-Py = mx -mPx ; and solve for y

y = mx -mPx+Py ; (-mPx+Py) is simply a constant, so to simplify

y = mx + C

Answer 12

Thank you So much man, and thank you to the 10 people who jumped right in to help me :D

Answer 13

youre welcome