Asegment has endpoints a(3, 4) and b(5, 8). what is the slope of the line parallel to the segment ab, and what is the slope of the line perpendicular to the segment ab?

For this case we have that by definition, the slope of a line is given by:

We have the following points:

Substituting:

By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to segment AB has slope .

On the other hand, if two lines are perpendicular, then the product of their slopes is -1. So:

Thus, a line perpendicular to segment AB has slope

a line parallel to segment AB has slope.

a line perpendicular to segment AB has slope

Slope of a line perpendicular to the line AB =

Slope of a line parallel to AB = 2

Step-by-step explanation:

Let slope of a line =

And slope of the other line is =

If these lines are parallel then

If these lines are perpendicular then

Slope of the line passing through two points (x, y) and (x', y') =

Therefore, slope of the line passing through A(3, 4) and B(5, 8) =

a). If a line having slope is parallel then

b). If a line having slope is perpendicular then

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step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.