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 .

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(39617) (Show Source): You can put this solution on YOUR website!
Point-slope equation form gives the equation for this line.

Change into slope-intercept form:

--------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).

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) (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)
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