SOLUTION: Write the equation of a line that passes through the points (3,4) and (-5,-6). In standard form. Thanks:)

Algebra ->  Linear-equations -> SOLUTION: Write the equation of a line that passes through the points (3,4) and (-5,-6). In standard form. Thanks:)      Log On


   

Question 84893: Write the equation of a line that passes through the points (3,4) and (-5,-6). In standard form. Thanks:)
Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
First you need to find the slope of this line = y_difference%2Fx_difference
%284-%28-6%29%29%2F%283-%28-5%29%29=10%2F8=5%2F4
Then the general form of the equation is: y=mx+b
Plug in the gradient and any of the two given points in the equation like this:
4=3%2A%285%2F4%29%2Bb
This gives b=1/4
And so the equation becomes y=%285%2F4%29x%2B1%2F4
OR
4y=5x%2B1