Write an equation for a line perpendicular to y = − 2x+5 and passing through the point (-6,1)

Question

write an equation for a line perpendicular to y=-2x+5 and passing through the point (-6,1)

Answer 1

y = -2x + 5 has a slope of -2. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the new line would be 1/2.  Now, you have a point and a slope; so, use the Point-Slope form for the equation of a line.

y - y₁ = m(x - x₁₎

y - 1 = (1/2)(x + 6)

y - 1 = (1/2)x + 3

y = (1/2)x + 4