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Straight Line Geometry question?

0 votes

ABCD is a rectangle with A (7,1) and B (3,4). C is the point (8, k)


How would you work out the value of k?


I've found out that the gradient of AB is 3/-4. What would the gradient of BC be?

asked Apr 7, 2016 in GEOMETRY by anonymous

1 Answer

0 votes

Step 1:

Rectangle has coordinate points and .

Gradient of the line joining the point is .

Since line joining the point and is perpendicular.

Thus, the gradient of the line joining the point is .

gradient is .

General form of line equation is image.

The line equation is .

Substitute in to find .

Substitute image in the line equation.

.

Step 2:

Find value.

Substitute in the .

Solution :

The value of is image.

answered Apr 12, 2016 by Anney Mentor

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