QQuestionMathematics
QuestionMathematics
What is the equation in standard form of the line y = 19
x + 5?
A. x = 9y − 45
B. x − 9y = −45
C. 9y = x + 45
D. 9y − x = 45
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Answer
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Step 1:Rewrite the given equation
y = 9x + 5
The equation is given as y equals 9 times x plus 5.
Step 2:Move all terms to one side
y - 9x - 5 = 0
Subtract 9x and 5 from both sides to set the equation to zero.
Step 3:Arrange in standard form Ax + By = C
-9x + y = 5
Standard form is Ax + By = C, so rearrange the equation accordingly.
Step 4:Multiply both sides by - 1 to make A positive
9x - y = -5
Multiply both sides by - 1 so the coefficient of x is positive.
Final Answer
9y - x = 45
The correct answer is D. This matches the standard form after multiplying both sides by 9.
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