find an equation for the line perpendicular to the line y=-2x-4; containing the point (1,-2)

Question

find an equation for the line with given properties. Perpendicular to the line y=-2xl-4; containing the point (1,-2)

Answer 1

y = -2x-4 has a slope of -2. Since perpendicular lines have slopes that are negative reciprocals of each other, the new line will have a slope of 1/2. Since you now have a slope and a point, use the Point-Slope Form of the equation of a line.

y - y₁ - m(x - x₁)

y + 2 = 1/2(x - 1)

y + 2 = (1/2)x - 1/2

y = (1/2)x - 2 1/2