Here is a circle, centre 0, and the tangent to the circle at the point (-7, 24) on the circle.
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 24.

Step-by-step explanation:

The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.

The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is

The slope of the tangent is the negative reciprocal of the slope of the radius.

The tangent contains point (-7, 24).

y = mx + b

The equation of the tangent is

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.