80 !

a line segment has endpoints at (4, –6) and (0, 2). what is the slope of the given line segment? what is the midpoint of the given line segment? what is the slope of the perpendicular bisector of the given line segment? what is the equation, in slope-intercept form, of the perpendicular bisector?

1). Slope = (-2)

2). Midpoint = (2, -2)

3). Slope of the perpendicular bisector = (1/2)

4). Equation of perpendicular bisector will be x - 2y = 6

Step-by-step explanation:

A line segment has the endpoints at (4, -6) and (0, 2).

1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)

2). Mid point of the line segment is given by

Therefore midpoints of the line segment will be = (2, -2)

3). Slope of the perpendicular bisector is represented by

⇒ (-2)×m2 = (-1)

⇒

4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).

Since standard equation of the line will be given as y = mx + c

passes through (2, -2).

c = (-1) - 2 = -3

Finally the equation of perpendicular bisector will be

⇒ 2y = x - 6

⇒ 2y - x = -6

⇒ x - 2y = 6

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: