the diagram shows triangle ABC point c has coordinates (4,7) and the equation of the line AB is x+2y=8 find the coordinates of B

2 answers

No idea. All I have is a point and a line. A and B could be anywhere on the line.
I believe the way to solve x + 2y = 8 is,

2y = -x + 8

2y/2 = (-x + 8)/2

y = -x/2 + 4 => y = (-1/2)x + 4

Set the equation to zero:

(-1/2)x + 4 = 0

(-1/2)x = -4

Divide both sides by -1/2 to obtain the x value:

x = 8

Therefore, B(8,0) is your coordinate.
Similar Questions
  1. In the diagram, points L, N, and P lie on the same line.The diagram shows triangles L M N and N O P. The coordinates of point L
    1. answers icon 1 answer
  2. A triangle shows points A(2,8), B(14,4) and C(4,2). M is the midpoint of AC.a. Write down the coordinates of M b. Calculate the
    1. answers icon 1 answer
  3. A triangle shows points A(2,8), B(14,4) and C(4,2). M is the midpoint of AC.a. Write down the coordinates of M b. Calculate the
    1. answers icon 3 answers
    1. answers icon 1 answer
more similar questions