SOLUTION: Find the slope-Intercept form of the line containing the given point and parallel to the given line (2,-3); 7x-6y=5

Algebra ->  Linear-equations -> SOLUTION: Find the slope-Intercept form of the line containing the given point and parallel to the given line (2,-3); 7x-6y=5      Log On


   

Question 670263: Find the slope-Intercept form of the line containing the given point and parallel to the given line (2,-3); 7x-6y=5
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope.
..
Using 7x - 6y = 5
...
6y = 7x - 5
highlight_green%28y=%287%2F6%29x+-+5%2F6%29
...
The slope is 7%2F6
...
Applying slope and the given coordinates, solve for the y-intercept
-3 = %287%2F6%29%282%29+%2B+b
b =-3+-+7%2F3+=+-3%283%2F3%29+-+7%2F3+=+-9%2F3+-+7%2F3+=+16%2F3
...
highlight%28y=%287%2F6%29x%2B%2816%2F3%29%29
...

………
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
homeworkhelpers@readingboosters.com