Answer:
y = -x - 7
Step-by-step explanation:
As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.
Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.
Subbing -4 for y and 3 for x, we get
-4 = -1(3) + b, which yields b = -1
Thus, the desired equation is
y = -x - 1
Answer:
Center: (6, -12)
Radius: 4
Step-by-step explanation:
<u>Complete the squares</u>
<u />
Comparing with the standard form equation 
, since 
, then the radius of the circle is 
. Also, the center of the circle would be 
.
2r-6+5r=3-r+7
7r-6=10-r
7r+r=10+6
8r=16
r=16/8
r=2
5) Transitive property of equality
6) Addition property of equality
7) Subtraction property of equality
8) Division property of equality
9) Multiplication property of equality
10) Transitive property of congruence
11) Substitution property of equality
12) Addition property of equality [add XY to both sides then use segment addition postulate]
13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]
14) Angle addition postulate
15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]
16) Transitive property of equality
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
