Posted by **alyssa** on Wednesday, December 23, 2009 at 9:06pm.

A map shows a main gas pipeline running straight from A(45,60) to B(65,40)

a) Is the point C(63,54) on the branch pipeline? Explain your reasoning

b) What is the shortest route for connecting point C to the main pipeline.Explain

**OMGGGG PLZZZ HELPPP, THANK YOUUUUUU!!!!!!!!!!!

- two-point form/Distance formulas -
**MathMate**, Thursday, December 24, 2009 at 8:41am
The equation of a line passing two given points P1(x1,y1) and P2(x2,y2) is:

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

Substitute the coordinates of the two given points and simplify to find the formula of the line, L1.

(hint: The equation I get is Ax+By+C=0 where C is -105)

a.

Substitute the value of x of the third point (P3) into L1 and see if the corresponding value of y equals the y-coordinate of P3.

b.

The distance of the point P3(x3,y3) from a line Ax+By+C=0 is given by

|Ax+By+C|/sqrt(A²+B²)

I get about 8.5.

- grade 10 math- slope/midpoint/length formulas -
**Anonymous**, Sunday, January 3, 2010 at 4:18pm
dfr

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