Question is in description.

Question

Find the equation for the line that is perpendicular to the line with the equation x = 4 passing through the point (−1, 2)

Answer 1

two lines that are perpendicular have slopes that are negative reciprocals of each other

the equation x=4 is a vertical line parallel to the y-axis and passing through the point (4,0) as well as all points of the form

(4,y) where y is 1, -1, 2, -2, 3, -3, and so on to make things easier to understand

the line perpendicular to x=4 must be parallel to the x-axis and thus perpendicular to the y-axis and perpendicular to the line x=4, and it must pass through the point (-1,2)

horizontal lines have slope 0, so it must look like y=ox+b, or y=b

the equation of the line is y=2 because the line must pass through all points of the form (x,2) where x is any integer