2. perpendicular to the line y=-4x+4; containing the point (1,4)

Question

2. perpendicular to the line y=-4x+4; containing the point (1,4)

Answer 1

y = -4x + 4 has a slope of -4. Perpendicular lines have slopes that are negative reciprocals of each other. So, the new line will have a slope of 1/4.

Since you now have a point and a slope, you should use the point-slope form of a line:

y - y₁ = m(x-x₁)

y - 4 = (1/4)(x - 1)

y - 4 = (1/4)x - 1/4

y = (1/4)x + 3 3/4