SOLUTION: Find the equation of the line that passes through each pair of points. Write your answers in standard form. (1/3, -1/5), (-1/3, -1)

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that passes through each pair of points. Write your answers in standard form. (1/3, -1/5), (-1/3, -1)      Log On


   

Question 104281This question is from textbook
: Find the equation of the line that passes through each pair of points. Write your answers in standard form.
(1/3, -1/5), (-1/3, -1) This question is from textbook

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
If the line passes through the points (1/3, -1/5), and (-1/3, -1),
The slope,
m=%28y-increment%29%2F%28x-increment%29
m=%28-1-%28-1%2F5%29%29%2F%28-1%2F3-1%2F3%29
m=%28-4%2F5%29%2F%28-2%2F3%29
m=6%2F5
Using the slope-intercept form, y=mx%2Bb
and, the point (1/3, -1/5)-----------x=1/3, and y=-1/5
y=mx%2Bb
-1%2F5=%286%2F5%29%2A%281%2F3%29%2Bb
~1%2F5=2%2F5%2Bb
~b=-1%2F5
Then,
y=6x%2F5-1%2F5
5y=6x-1
6x-5y-1=0___________The equation of the line!
Graph:
graph%282000%2C2000%2C-15%2C15%2C-15%2C15%2C6x%2F5-1%2F5%29