Question

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4
y=4
x=5
y=7
x=7

Answer 1

If two lines are perpendicular, then their slopes have some relation:
The product of slopes of the two lines, say line m and line n, will be \(-1\)..

Let us say line m has slope has \(s_1\)\) and line n has slope as \(s_2\), then:
\[\large s_1 \times s_2 = -1\]

Answer 2

According to your question, the given perpendicular line ie x = 4 has slope ??

Can you tell its slope?

Answer 3

I can draw it for you to understand it easily: