Question

help pls I really don't get this

Answer 1

Answer:

y = (7/24)(x +7) + 24

Step-by-step explanation:

The line must be perpendicular to the radius at the point (–7,24). The slope of the radius is given by -:

$m=y_{1} - y_{2} /x_{1} -x_{2}$

m= 0-24/0-(-7)

m = -24/7

The radius has endpoints (–7,24) and the center of the circle (0,0), so its slope is –24/7.

The slope of the tangent line must be perpendicular to the slope of the radius, so the slope of the line is 7/24.

The equation of the line is y – 24 = (7/24)(x – (–7))

                                           y = (7/24)(x +7) + 24