Question

Urgently need the answer!!

Answer 1

Answer: y=-4/3x+25/3

Explanation:

The equation of the circle is x²+y²=5²

The are saying y=3 plug in x²+3²=5²

x²=±
`\sqrt{16\\`

x=±4

so the point of tangency is (-4, 3)

the slope from the center of the circle to that point is m=-3/4

but we need the perpendicular for tangent, so "flip" and take opposite sign

now m=4/3

we now have a point(-4,3) and a slope m=-4/3 plug into point-slope form

y-y1=m(x-x1)

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

y-3=4/3x+16/3

y=-4/3x+25/3