Question

write an equation for the line described. write the equation in the form specified. perpendicular to x = -3, through (8, 7) a y = 8 b x = 8 c y = 7 d x = 7

Explanation:

Step1: Analyze the given line

The line \( x = -3 \) is a vertical line (since it has the form \( x = \text{constant} \)). A line perpendicular to a vertical line is a horizontal line. Horizontal lines have the equation \( y = \text{constant} \).

Step2: Determine the constant for the horizontal line

The horizontal line passes through the point \( (8, 7) \). For a horizontal line, the \( y \)-coordinate is constant. So the \( y \)-coordinate of the point \( (8, 7) \) is \( 7 \), which means the equation of the horizontal line is \( y = 7 \).

Answer:

C. \( y = 7 \)