Question

Write and equation of a line that passes through (-5, 6)
and is perpendicular to x=-2

Answer 1

Explanation:

Perpendicular means opposite reciprocal as far as the slope goes. The thing we need to know without prompting is that the given slope of x = -2 is a perfectly vertical line with an undefined slope, and that a line perpendicular to this one would have to be a perfectly horizontal line. Slopes of perfectly horizontal lines is always 0. Therefore, filling in the point-slope form of a line using the slope of 0 and the given point:

y - 6 = 0(x -(-5)) and

y - 6 = 0(x + 5) and

y - 6 = 0x + 0 so

y - 6 = 0 and

y = 6.