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The equation of the perpendicular bisector of the line segment joining 1 2 3 4

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Explanation: From Geometry, we know that the perpendicular bisector (p. Web. e. Grab your compass.

Find the equation of perpendicular bisector of the line segment joining the points A(2,3) and B(6,−5).

Step 4: Substitute the value in the general expression of the perpendicular bisector. Step 4: Substitute the value in the general expression of the perpendicular bisector. Then y = 1/2*x + 8, so m + b = 1/2 + 8 = 17/2. What is perpendicular?.

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In this guide, the slope would be m in slope-intercept form (y=mx+b). Step 3: Now take the negative reciprocal of the slope to get the slope of the perpendicular line. The equation of the perpendicular bisector of the line segment joining A ( 2, 3) and B ( 6, - 5) is A x – y = – 1 B x – 2 y = 3 C x + y = 3 D x - 2 y = 6 Solution The correct option is D x - 2 y = 6 Explanation for the correct option: Step 1: Find the slope of the line A B Let A = 2, 3 = ( x 1, y 1) B = ( 6, - 5) = ( x 2, y 2). . m2 = -1 m2 = 14/5 Now equation of perpendicular bisector using two point form, 10y - 65 = 28x - 84 28x - 10y - 84 + 65 = 0 28x - 10y - 19 = 0.

Web. . Medium Solution Verified by Toppr Since, the slope of the line AB = x 2−x 1y 2−y 1 = 6−2−5−3 = 4−8=−2 But slope of perpendicular bisector will be =− m1 = 21 Therefore, the equation of the line y+1= 21(x−4) 2y+2=x−4 x−2y=6. Web. Since the product of slopes of two perpendicular lines is -1, we have:.

Let us denote, by bar(AB), the line sgmt. of p. . ∴ ( x - 4) 2 + ( y - 5) 2 = ( x + 2) 2 + ( y - 3) 2 Solving we get -12x - 4y + 28 = 0 or 3x + y - 7 = 0 Concept: Distance Formula Report Error. Step-by-step solution Step 1 of 3 Let us consider the points We know that the perpendicular bisector is perpendicular to the line and joining the midpoint of that line segment Take is the midpoint of Now the coordinates of are.

Web. Web. Since the product of slopes of two perpendicular lines is -1, we have:.