Question

A line runs tangent to a circle at the point (4, 2). The line runs through the origin. Find the slope of the tangent line.

Answer 1

Slope of the tangent line (m) = 1 / 2

Explanation:

Given:

Point A = (4,2)

Origin point = (0,0)

Find:

Slope of the tangent line (m)

Computation:

Slope of the tangent line (m) = (y2-y1) / (x2-x1)

Slope of the tangent line (m) = (2-0) / (4-0)

Slope of the tangent line (m) = 2 / 4

Slope of the tangent line (m) = 1 / 2