The perpendicular line that passes through (5, 7) is:
x = 5.
How to find the perpendicular line?
A general linear equation is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If the slope is 0, then we have:
y = b
And the line passes through (5, 7), so the line is:
y = 7.
Now, a perpendicular line to this one will be a vertical line, of the form:
x = a
And this line must pass through (5, 7), so the line is:
x = 5.
If you want to learn more about perpendicular lines, you can read:
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