SOLUTION: Good Evening, I need help with understanding my math homework... #1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0 #2 Find the equation for the line with

Algebra ->  Points-lines-and-rays -> SOLUTION: Good Evening, I need help with understanding my math homework... #1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0 #2 Find the equation for the line with      Log On


   

Question 42777: Good Evening, I need help with understanding my math homework...
#1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0
#2 Find the equation for the line with slope 1.2 and the y-intercept 3.
#3 Find the slope of the line through the points A(-1,6) and B(5,2)
#4 Find the point on the positive y-axis that is a distance 5 from the point P(3,4)
Help me understand, please
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
#1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0
x%5E2+%2B+2x+%2B+y%5E2+-+10y+%2B+22+=+0
%28x%5E2+%2B+2x%29+%2B+%28y%5E2+-+10y%29+=+-22
%28x+%2B+1%29%5E2+%2B+%28y+-+5%29%5E2+=+-22+%2B+25+%2B+1
%28x+%2B+1%29%5E2+%2B+%28y+-+5%29%5E2+=+4
Center: (-1,5)
#2 Find the equation for the line with slope 1.2 and the y-intercept 3.
y+=+mx+%2B+b
y+=+1.2x+%2B+3
#3 Find the slope of the line through the points A(-1,6) and B(5,2)
M = (y2 - y1)/(x2 - x1) = (6 - 2)/(-1 - 5) = 4/-6 = -2/3
#4 Find the point on the positive y-axis that is a distance 5 from the point P(3,4)
d+=+sqrt%28%28x+-+x%29%5E2+%2B+%28y+-+y%29%5E2%29
5+=+sqrt%28%283+-+0%29%5E2+%2B+%284+-+y%29%5E2%29
5+=+sqrt%289+%2B+%284+-+y%29%5E2%29
5+=+sqrt%289+%2B+y%5E2+-+8y+%2B+16%29
5+=+sqrt%28y%5E2+-+8y+%2B+25%29
25+=+y%5E2+-+6y+%2B+25
0+=+y%5E2+-+8y
0+=+y%28y+-+8%29
y+=+0 or y+=+8
(0,0) and (0,8)