Table of Contents
- 1 What is an equation of the perpendicular bisector of the line segment?
- 2 What is the equation of the perpendicular bisector of side AC?
- 3 What is the equation of the line perpendicular to y 1 2x 3?
- 4 How do you find the equation of a perpendicular line?
- 5 How do you make perpendicular bisector?
- 6 How to find a vector perpendicular to a line?
What is an equation of the perpendicular bisector of the line segment?
y=n(x−xmid)+ymid. Substitute the slope, n , and the midpoint: y=−1(x−3)+1. We simplify and find that the equation of the perpendicular bisector is. y=4−x.
What is the equation of the perpendicular bisector of side AC?
The equation of perpendicular bisectors of the sides AB and AC of a triangle ABC are x−y+5=0 and x+2y=0 respectively. If the point A is (1,−2).
How do I find the equation of a perpendicular line?
Correct answer: Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
What is the equation of the line perpendicular to y 1 2x 3?
Algebra Examples The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 12 1 2 . The equation of a perpendicular line to y=x2+3 y = x 2 + 3 must have a slope that is the negative reciprocal of the original slope.
How do you find the equation of a perpendicular line?
Coordinates and line equation is the prerequisite to find out the perpendicular line. Consider the equation of the line is ax + by + c = 0 and coordinates are (x1, y1), the slope should be − ab − ab. If one line is perpendicular to this line, the product of slope should be -1.
Which pair of equations represents perpendicular lines?
Simply solve for the y in each equation, and if your slopes are opposite slopes with opposite signs and opposite reciprocal in which the numerator and the denominator is switched, the lines are perpendicular. y=-8/3x+9——> first line.
How do you make perpendicular bisector?
Connect the arc intersections. To do this, place your straightedge on the point where the arcs above the line intersect, and align it with the point where the arcs below the line intersect. Draw your perpendicular bisector. The line you draw between the two arc intersections bisects the line at a ninety degree angle.
How to find a vector perpendicular to a line?
Recall the geometric definition of perpendicular slopes. Two lines (including lines,line segments,or vectors) are perpendicular to each other if their slopes are negative reciprocals.