SOLUTION: The slope of a straight line through A (3,2) is 3/4 . Find the coordinates of the points on the line that are 5 units away from A .

Algebra ->  Coordinate-system -> SOLUTION: The slope of a straight line through A (3,2) is 3/4 . Find the coordinates of the points on the line that are 5 units away from A .      Log On


   

Question 979149: The slope of a straight line through A (3,2) is 3/4 . Find the coordinates of the points on the line that are 5 units away from A .
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Point-slope equation form gives the equation for this line.
y-2=%283%2F4%29%28x-3%29
Change into slope-intercept form: y=%283%2F4%29%28x-3%29%2B2
y=%283%2F4%29x-9%2F4%2B2
y=%283%2F4%29x-9%2F4%2B8%2F4
y=%283%2F4%29x-1%2F4--------which is a general point, (x, (3/4)x-1/4), ordered pair.

Use the distance formula to help find the coordinates of the point on this line, five units distance from A(3,2).

sqrt%28%283x%2F4-1%2F4-2%29%5E2%2B%28x-3%29%5E2%29=5
If you can understand this use of the distance formula, this understanding IS GOOD. Simplify it and solve for x. You will find two values, which are the x coordinates for the point you want. Use each of them to find the corresponding y coordinates.

I did not finish this myself, but you definitely should try to do it.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

The slope of a straight line through A (3,2) is 3/4 . Find the coordinates of the points on the line that are 5 units away from A .
Coordinate point: (7,5)