SOLUTION: Find the equation for the line that passes through the point (3,5), and that is parallel to the line with the equation - (y-1)=-2/3(x-1). [-2/3 is -2 OVER 3, NOT -2 divided by

Algebra ->  Linear-equations -> SOLUTION: Find the equation for the line that passes through the point (3,5), and that is parallel to the line with the equation - (y-1)=-2/3(x-1). [-2/3 is -2 OVER 3, NOT -2 divided by      Log On


   

Question 621067: Find the equation for the line that passes through the point (3,5), and that is parallel to the line with the equation -
(y-1)=-2/3(x-1).
[-2/3 is -2 OVER 3, NOT -2 divided by 3.]
Thanks,
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The rational number -2%2F3 is the same as (-2) divided by 3, and I could call it -2 over 3 too.
There are many ways to express it. It's like half a dozen and six.
%28-2%29%2F3=-2%2F3=2%2F%28-3%29=%28-1%29%2A%282%2F3%29
The equation y-1=-2%2F3%28x-1%29 represents the line with slope -2%2F3 that passes through (1,1). (It's in point-slope form).
Any line parallel to that line will have slope -2%2F3.
The line with slope -2%2F3 that passes through (3,5) has the equation
y-5=-2%2F3%28x-3%29 (in point-slope form)
We can transform it into the slope-intercept form:
y-5=-2%2F3%28x-3%29 --> y-5=-2%2F3x-2%2F3%28-3%29 --> y-5=-2%2F3x%2B2 --> y=-2%2F3x%2B2%2B5 --> y=-2%2F3x%2B7