what is the slope of a line that is perpendicular to the line y = 1?\n-1\n0\n1\nundefined

what is the slope of a line that is perpendicular to the line y = 1?\n-1\n0\n1\nundefined

what is the slope of a line that is perpendicular to the line y = 1?\n-1\n0\n1\nundefined

Answer

Explanation:

Step1: Analyze the given line

The line $y = 1$ is a horizontal line. The slope of a horizontal line is $m_1=0$.

Step2: Use the perpendicular - slope formula

If two lines with slopes $m_1$ and $m_2$ are perpendicular, then $m_1\times m_2=- 1$. Substituting $m_1 = 0$ into $m_1\times m_2=-1$, we get $0\times m_2=-1$, which is impossible for a real - valued $m_2$. A line perpendicular to a horizontal line is a vertical line. The slope of a vertical line is undefined.

Answer:

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