What is the dimension of the hypotenuse of the accompanying right triangle?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We have been given an image of a line segment and we are asked to find the equation of perpendicular bisector of our given line segment in slope-intercept form.
Since we know that the slope of perpendicular line to a given line is negative reciprocal of the slope of the given line.
Let us find the slope of our given line using slope formula.
, where,
= Difference between two y-coordinates,
= Difference between two x-coordinates of same y-coordinates.
Upon substituting the coordinates of points (2,4) and (4,-2) in slope formula we will get,
Now we will find negative reciprocal of to get the slope of perpendicular line.
Since point (3,1) lies on the perpendicular line, so we will substitute coordinates of point (3,1) in slope-intercept form of equation .
Therefore, the equation of perpendicular line will be and option A is the correct choice.
