SOLUTION: how do i do.... write an equation of the lin in Plot-slope form that passes through the givin point and has the givin slope,, then convert the point slope equation into Slope- Inte

Algebra ->  Graphs -> SOLUTION: how do i do.... write an equation of the lin in Plot-slope form that passes through the givin point and has the givin slope,, then convert the point slope equation into Slope- Inte      Log On


   

Question 553682: how do i do.... write an equation of the lin in Plot-slope form that passes through the givin point and has the givin slope,, then convert the point slope equation into Slope- Intercept form
Found 2 solutions by mananth, KMST:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Here is an example

m= 7/11

Plug value of the slope and point(9,-6) in
Y = m x + b
-6.00 = 63/11 + b
b= -6 - 63/7
b= -129/11
So the equation will be
Y = 5/8 x -129/11
m.ananth@hotmail.ca

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
EXAMPLE
Let's say you're looking for the equation of a line that passes trough the point (2,1) with slope 1/4. Consider the point given, and a generic point (x,y) on the same line.
According to the definition of slope, %28y-1%29%2F%28x-2%29=1%2F4
Multiplying both sides by x-2 we get
y-1=%281%2F4%29%28x-2%29 <--This is the point-slope equation found.
Applying the distributive property to simplify the product, and solving for y
y-1=%281%2F4%29x-2%281%2F4%29 ---> y-1=%281%2F4%29x-%281%2F2%29 ---> y=%281%2F4%29x%2B1-%281%2F2%29
And that simplifies into the slope intercept-form of the equation
y=%281%2F4%29x%2B1%2F2
IN GENERAL
The point-slope form of the equation can be derived from the calculation of the slope between any point (x,y) on the line, and the point given.
Solving that point-slope equation for y you find the slope-intercept form:
y=slope%2Ax%2Bintercept