Answer:
1) (3,5)
2) (4,-7)
3)  (6,4)
4) (-4,-3)
Step-by-step explanation:
1)
Subtract  y  from both sides of the equation.
x  =  8  −  y 
x  −  y  =  −2
Replace all occurrences of x  in x  −  y  =  −2  with  8  −  y.
x  =  8  −  y
(8  −  y)  −  y  =  −2
Subtract y from  −y.
x  =  8  − y 
8  −  2y  =  −2
Solve for  y  in the second equation.
x  =  8  −  y  
y  = 5
Replace all occurrences of  y  in  x  =  8  −  y  with  5.
x  =  8  −(5) 
y  =  5
Simplify  8  −(5).
x  =  3 
y  =  5
Slope = (3,5)
2)
Multiply each term by  2  and simplify.
2x+y=12
y+6=−x−4
Move all terms containing variables to the left side of the equation.
2x+y=1x+2
y+6=−4
Move all terms not containing a variable to the right side of the equation.
2x+y=1x+2
y=−10
Multiply each equation by the value that makes the coefficients of  x  opposite.
2x+y=1(−2)⋅
(x+2y)=(−2)(−10)
Simplify.
2x+y=1−2x−4
y=20
Add the two equations together to eliminate  x  from the system.
2x+y=1+−2x−4
y=20−3
y=21
Divide each term by  −3  and simplify.
y  = −7
Substitute the value found for  y  into one of the original equations, then solve for  x.
x  =  4
slope (4,-7)
3)
Subtract  y  from both sides of the equation.
2x−y=8x−y=2
Multiply each equation by the value that makes the coefficients of  y  opposite
2x−y=8(−1)⋅
(x−y)=(−1)(2)
Simplify. 2x−y=8
−x+y=−2
Add the two equations together to eliminate  y  from the system.
2x−y=8  +  −x+y=−2x=6
Substitute the value found for  x  into one of the original equations, then solve for  y.
y=4
slope (6,4)
4)
Simplify 2(x+1).
y−3=2x+2
y=−3(x+5)
Simplify  −3(x+5)
y−3=2x+2
y=−3x−15
Move all terms containing variables to the left side of the equation.
−2x+y−3=2
y=−3x−15
Add  3x  to both sides of the equation.
−2x+y−3=2
y+3x=−15
Move all terms not containing a variable to the right side of the equation.
−2x+y=5
y+3x=−15
Reorder the polynomial.
−2x+y=5
3x  +  y=−15
Multiply each equation by the value that makes the coefficients of  y  opposite.
−2x+y=5(−1)⋅
(3x+y)=(−1)(−15)
Simplify.
−2x+y=5
−3x−y=15
Add the two equations together to eliminate  y  from the system.
−2x+y=5  +  −3x−y=15−5x=20
Divide each term by  −5  and simplify.
x=−4
Substitute the value found for  x  into one of the original equations, then solve for y.
y=−3
slope (-4,-3)