Question

question 9 (5 points) listen what vertical line (v) and horizontal line (h) intersect at point a? a) v: ( x = -6 ); h: ( y = -4 ) b) v: ( y = -6 ); h: ( x = -4 ) c) v: ( x = -4 ); h: ( y = -6 ) d) v: ( y = -4 ); h: ( x = -6 )

Explanation:

Step1: Identify coordinates of point A

From the graph, point A is at \( x = -6 \) (since it's on the vertical line where \( x \) is -6) and \( y = -4 \) (on the horizontal line where \( y \) is -4).

Step2: Recall vertical and horizontal lines

A vertical line has the equation \( x = a \) (constant \( x \)-value), and a horizontal line has the equation \( y = b \) (constant \( y \)-value). For point A (\( x=-6, y = -4 \)), the vertical line is \( x=-6 \) (since \( x \) is constant) and the horizontal line is \( y=-4 \) (since \( y \) is constant).

Step3: Match with options

Option A: V: \( x = -6 \); H: \( y = -4 \) matches our findings. Other options have incorrect equations for vertical/horizontal lines (e.g., vertical lines can't be in terms of \( y \), horizontal lines can't be in terms of \( x \) as in options B, D, and C has wrong \( x,y \) values).

Answer:

A) V: \( x = -6 \); H: \( y = -4 \)