SOLUTION: Find the equation of the line with slope 2 over 3 that passes through the point (6,9). Write the equation in standard form

Algebra ->  Equations -> SOLUTION: Find the equation of the line with slope 2 over 3 that passes through the point (6,9). Write the equation in standard form      Log On


   

Question 1004785: Find the equation of the line with slope 2 over 3 that passes through the point (6,9). Write the equation in standard form
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form for a line, Ax+By=C.

Slope based on the standard form equation is -A%2FB. If you want to know this for sure, take the general standard form and solve for y in terms of x, and you'll see. Your slope is 2%2F3.

Use the given point to compute the value for C.
2x-3y=2%2A6-3%2A9



ANOTHER WAY - USE POINT-SLOPE FORM
y-9=%282%2F3%29%28x-6%29, simply substituting the given information into the form
3y-27=2%28x-6%29
3y-27=2x-12
2x-12=3y-27
2x-3y=-27%2B12
2x-3y=-15