Question 1202856
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Directly from the equations in the given form of the two circles, the centers are (6,3) and (-4,4).<br>
The "run" from the first center to the second is -10 (from 6 to -4); the "rise" is 1 (from 3 to 4), so the slope (rise over run) is -1/10 = -0.1.<br>
Use that slope in the general slope-intercept form of the equation using either of the two given points to find the equation.<br>
{{{y=mx+b}}}
{{{3=(-0.1)(6)+b}}}
{{{3=-0.6+b}}}
{{{b=3.6}}}<br>
ANSWER: {{{y=-0.1x+3.6}}}<br>