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find the equation and slope of a line that is parallel to the line y = …

Question

find the equation and slope of a line that is parallel to the line y = -2 and passes through the point (8, 7) necessary.
equation:
slope:

Explanation:

Step1: Analyze the given line

The line \( y = -2 \) is a horizontal line. Horizontal lines have a slope of \( 0 \).

Step2: Determine the slope of the parallel line

Parallel lines have the same slope. So, the slope of the line parallel to \( y = -2 \) is also \( 0 \).

Step3: Find the equation of the line

A horizontal line passing through the point \( (8, 7) \) has the equation \( y = 7 \) (since all points on a horizontal line have the same \( y \)-coordinate).

Answer:

Equation: \( y = 7 \)
Slope: \( 0 \)