Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

ind Endpoint from Midpoint and Endpoint
Score: 0/5
Penalty: none
Question
Watch Video
Show Examples
The midpoint of 
bar(AB) is 
M(0,2). If the coordinates of 
A are 
(1,3), what are the coordinates of 
B ?
Answer Attempt 1 out of 2

◻
Submit Answer

ind Endpoint from Midpoint and Endpoint\newlineScore: 00/55\newlinePenalty: none\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineThe midpoint of AB \overline{\mathrm{AB}} is M(0,2) M(0,2) . If the coordinates of A A are (1,3) (1,3) , what are the coordinates of B B ?\newlineAnswer Attempt 11 out of 22\newline \square \newlineSubmit Answer

Full solution

Q. ind Endpoint from Midpoint and Endpoint\newlineScore: 00/55\newlinePenalty: none\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineThe midpoint of AB \overline{\mathrm{AB}} is M(0,2) M(0,2) . If the coordinates of A A are (1,3) (1,3) , what are the coordinates of B B ?\newlineAnswer Attempt 11 out of 22\newline \square \newlineSubmit Answer
  1. Midpoint formula: Midpoint formula: M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right). We know M(0,2)M(0,2) and A(1,3)A(1,3).
  2. Let B's coordinates: Let B's coordinates be (x,y)(x, y). We have 0=1+x20 = \frac{1 + x}{2} and 2=3+y22 = \frac{3 + y}{2}.
  3. Solve for x: Solve for x: 0=1+x20 = \frac{1 + x}{2} implies 0=1+x0 = 1 + x, so x=1x = -1.
  4. Solve for y: Solve for y: 2=3+y22 = \frac{3 + y}{2} implies 4=3+y4 = 3 + y, so y=1y = 1.

More problems from Rate of travel: word problems