SOLUTION: Let L denote the line passing through the point (6, 9) and the center of the circle (x - 4)2 + (y - 6)2 = 36. Find the slope of L. Decimal approximations will be marked incorrect

Question 941934: Let L denote the line passing through the point (6, 9) and the center of the circle (x - 4)2 + (y - 6)2 = 36.
Find the slope of L. Decimal approximations will be marked incorrect.

Answer: 3/2
This is what I'm having trouble with:
Write an equation for L in terms of the variables x and y. Decimal approximations will be marked incorrect.
I'm not sure what it wants? I tried using the point-slope form as y=(3/2)(x-6)+9, but it said that was incorrect.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the line passing through the point (, ) and the (,) of the circle
since we know that and (recall the circle formula )
so, we have two points the point (, ) and the point (, )
now find equation of a line passing through these two points:

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (6, 9) and (x2, y2) = (4, 6).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(1.5)x + (0)

Your graph:

since equation is which is ; so, the slope is
RELATED QUESTIONS
A line M is passing through the points (2, 5) and (-2, 1). Another line L is parallel to... (answered by Boreal)

Find an equation of the line L that passes through the point (-2, 4) and satisfies the... (answered by solver91311)

Find an equation of the line L that passes through the point (−2, 6)and satisfies... (answered by Alan3354)

Find an equation of the line L that passes through the point (−2, 6)and satisfies... (answered by Alan3354,josmiceli)

Find an equation of the line L that passes through the point (−2, 6) and... (answered by ankor@dixie-net.com)

Find the point-slope form of the equation of the line passing through the points (�6, �4) (answered by josgarithmetic)

Find the equation of the circle. Center C(-4, 6). passing through P(1, 2) (answered by poliphob3.14)

Find an equation of the line L that passes through the point (-2,-4) and satisfies the... (answered by josgarithmetic,josmiceli)