Circle A is located at (6, 5) and has a radius of 3 units. What is the equation of a line that is tangent to circle A from point C (9, 8)? y = −x + 14 x = 9 y = x − 1 x = 4
Mathematics · Middle School · Tue Nov 03 2020
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In the general equation of linear equation y= mx +c, then Circle A is located at (6, 5) and has a radius of 3 units where the equation of a line that is tangent to circle A (6,5) from point C (9, 8)
The slope will be
m = [y(2)-y(1)]/x(2)-x(1)
Where x(1)=6,x(2)=9,y(1)=5, and y(2)=8
m= (8-5)/9-6
m= 1
Substitute the equation of line at (9,8)
8=9(1)+c
c=-1
So the equation of a line that is tangent to circle A (6,5) from point C (9, 8)
y= x-1 option C the answer.