Which of the following is an equation of the line graphed in the xy plane that passes through the point (−1,3.5) and is perpendicular to the line B whose equation is x+4.5=0?Choose 1 answer:(A)x=−1(B)x=3.5(C)y=3.5(D)y=4.5
Q. Which of the following is an equation of the line graphed in the xy plane that passes through the point (−1,3.5) and is perpendicular to the line B whose equation is x+4.5=0?Choose 1 answer:(A)x=−1(B)x=3.5(C)y=3.5(D)y=4.5
Vertical Line Slope: Line B has the equation x+4.5=0, which is a vertical line.What is the slope of a vertical line?The slope of a vertical line is undefined.
Perpendicular Line Slope: Line A is perpendicular to line B.What is the slope of line A?The slope of line A is 0 because it is a horizontal line (perpendicular to a vertical line).
Horizontal Line Equation: Line A passes through the point (−1,3.5). What is the equation of a horizontal line passing through a point? The equation of a horizontal line is y=k, where k is the y-coordinate of the point it passes through.
Substitute Y-coordinate: Substitute the y-coordinate of the point (−1,3.5) into the equation y=k.What is the equation of line A?The equation of line A is y=3.5.
Check Answer Choices: Check the answer choices to find the equation y=3.5.Which answer choice corresponds to the equation y=3.5?The answer choice that corresponds to the equation y=3.5 is (C).
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