SOLUTION: A circle is tangent to the y axis at (0,7) and the center is on the line y = 4x-9. Give the equation of the line, in polynomial form.

Question 753014: A circle is tangent to the y axis at (0,7) and the center is on the line y = 4x-9. Give the equation of the line, in polynomial form.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A circle is tangent to the y axis at (0,7) and the center is on the line y = 4x-9. Give the equation of the line, in polynomial form.
***
The line y=7 intersects with line y=4x-9
7=4x-9
4x=16
x=4
center: (4,7)
r=4
Equation: (x-4)^2+(y-7)^2=16
in polynomial form:
x^2-8x+16+y^2-14y+49=16
x^2+y^2-8x-14y=-49
RELATED QUESTIONS
A circle is tangent to the line 3x-4y -4 = 0 at the point (-4,-4) and the center is on... (answered by robertb,greenestamps,ikleyn)

Find the equation of a circle is tangent to the line -x+y+4=0 at the point (3, -1), and... (answered by MathLover1)

Determine the equation of a circle with center on the line x-y=5 and tangent to both... (answered by Fombitz)

Find the equation of the circle tangent to the line 5x + y = 3 at the point (2, -7) and... (answered by Alan3354,Edwin McCravy)

The circle is tangent to the line 4x+3y=4 at the point (4,-4) and center is on the line... (answered by greenestamps)

a circle has its center on the line 3x-2y-22=0 and tangent to the y-axis at (0,1). Find... (answered by Alan3354)

Write an equation of a circle that is tangent to the y-axis and has its center at... (answered by macston)

The circle is tangent to the line 4x+3y=4 at the point (4,-4) and center is on the line... (answered by ikleyn)

The circle is tangent to y-axis, and the center is at (5, 3). Find the equation of a... (answered by dkppathak)