QQuestionMathematics
QuestionMathematics
For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?
A. A = 1, B = 0, C = 6
B. A = 1, B = 0, C = 8
C. A = 0, B = 1, C = 6
D. A = 0, B = 1, C = 8
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Answer
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Step 1:Identify the equation of a vertical line
x = k
A vertical line has an equation where x equals a constant.
Step 2:Express vertical line in form Ax + By = C
Ax + By = C
To represent x = k in this form, set A = 1, B = 0, and C = k.
Step 3:Find the value of k for the line passing through (8, 6)
x = 8
The vertical line through (8, 6) is x = 8.
Step 4:Write the equation in Ax + By = C form
1x + 0y = 8
This matches A = 1, B = 0, C = 8.
Final Answer
A = 1, B = 0, C = 8
The correct values are A = 1, B = 0, C = 8, which is option B.
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