SOLUTION: Point P is located at (−2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.
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Question 838152: Point P is located at (−2, 7) and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Slope-Intercept form for a line, y=mx+b.
;
b=y-mx, using either point of the line:
.
Line equation is
Find distance from P to R, using Distance Formula.
Any point (x,y) on the line for PR will be in the form, (x,-(7/3)x+7/3), the expression for y being that of the equation's expression for the line.
You want the point Q(x, -(7/3)x+7/3) so that
-
Simplify that and solve for x. Realize, that one value will be good and the other value will need to be rejected.
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