An equation for a line perpendicular to the line 2 = 10 can be found by finding the slope of that line and then finding the slope of the perpendicular line. The slope of the line 2 = 10 is 0, so the slope of the perpendicular line would be undefined.
The equation of a line with slope m passing through the point (x1, y1) can be written in the form:
y - y1 = m(x - x1)
Since the slope of the line is undefined, the equation of the line would be in the form:
x - x1 = constant
To find the equation of the line that passes through the point (3, 2), we substitute the values into the equation:
x - 3 = constant
So the equation of the line that is perpendicular to the line 2 = 10 and passes through the point (3, 2) is:
x - 3 = constant
or simply:
x = 3.