Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
<em>x = -8</em>
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
<em>y = 2</em>
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
<em>y = 2</em>
Answer:
1
Step-by-step explanation:
The graph below shows the radius to be 1.
__
If we rewrite the equation to standard form, we have ...
(x^2 -2x +1) +(y^2 +6y +9) = -9 +1 +9
(x -1)^2 +(y +3)^2 = 1
The square of the radius is 1, so the radius is 1.