Question
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
Answers
Steve
No idea. All I have is a point and a line. A and B could be anywhere on the line.
Farohw
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.
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.