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Which of the following is an equation of the line 
A 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

Which of the following is an equation of the line graphed in the xyxy plane that passes through the point (1,3.5)(-1,3.5) and is perpendicular to the line BB whose equation is x+4.5=0x+4.5=0?\newlineChoose 11 answer:\newline(A)\text{(A)} x=1x=-1\newline(B)\text{(B)} x=3.5x=3.5\newline(C)\text{(C)} y=3.5y=3.5\newline(D)\text{(D)} y=4.5y=4.5

Full solution

Q. Which of the following is an equation of the line graphed in the xyxy plane that passes through the point (1,3.5)(-1,3.5) and is perpendicular to the line BB whose equation is x+4.5=0x+4.5=0?\newlineChoose 11 answer:\newline(A)\text{(A)} x=1x=-1\newline(B)\text{(B)} x=3.5x=3.5\newline(C)\text{(C)} y=3.5y=3.5\newline(D)\text{(D)} y=4.5y=4.5
  1. Vertical Line Slope: Line B has the equation x+4.5=0x + 4.5 = 0, which is a vertical line.\newlineWhat is the slope of a vertical line?\newlineThe slope of a vertical line is undefined.
  2. Perpendicular Line Slope: Line AA is perpendicular to line BB.\newlineWhat is the slope of line AA?\newlineThe slope of line AA is 00 because it is a horizontal line (perpendicular to a vertical line).
  3. Horizontal Line Equation: Line A passes through the point (1,3.5)(-1, 3.5). What is the equation of a horizontal line passing through a point? The equation of a horizontal line is y=ky = k, where kk is the yy-coordinate of the point it passes through.
  4. Substitute Y-coordinate: Substitute the yy-coordinate of the point (1,3.5)(-1, 3.5) into the equation y=ky = k.\newlineWhat is the equation of line A?\newlineThe equation of line A is y=3.5y = 3.5.
  5. Check Answer Choices: Check the answer choices to find the equation y=3.5y = 3.5.\newlineWhich answer choice corresponds to the equation y=3.5y = 3.5?\newlineThe answer choice that corresponds to the equation y=3.5y = 3.5 is (C).

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