Question

18(,10).

Find the coordinates of the point where the perpendicular bisector of the line AB meets the line y = x.
The line y = 5x + 6 meets the curve xy = 8 at the points A(-2,-4) and B

Answer 1

To find the coordinates of the point where the perpendicular bisector of line AB meets the line y = x, we first need to find the midpoint of line AB using the given coordinates. Then, we can use the point-slope form to find the equation of the perpendicular bisector.

Step-by-step explanation:

The coordinates of point A are (-2,-4). To find the perpendicular bisector of line AB, we first need to find the midpoint of line AB. Since A and B are given, we can use the midpoint formula:

M = (x1 + x2)/2, (y1 + y2)/2

Substituting the coordinates of A and B, we get:

M = (-2 + x2)/2, (-4 + y2)/2

Now, to find the equation of the perpendicular bisector, we use the point-slope form:

y - y1 = m(x - x1)

Substituting the slope of AB and the coordinates of point M, we can find the equation of the perpendicular bisector.

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