Answer: see below
Explanation:
Slope-Intercept form is: y = mx + b where
- m is the slope
- b is the y-intercept
1) 2x + y = 2
y = -2x + 2 Subtracted 2x from both sides
↓ ↓
m= -2 b= 2
Slope (m) = -2 y-intercept (b) = 2 Equation: y = -2x + 2
2) 4x + y = -5
y = -4x - 5 Subtracted 4x from both sides
↓ ↓
m= -4 b= -5
Slope (m) = -4 y-intercept (b) = -5 Equation: y = -4x - 5
3) 4x + 2y = 6
2y = -4x + 6 Subtracted 4x from both sides
y = -2x + 3 Divided 2 from both sides
↓ ↓
m= -2 b= 3
Slope (m) = -2 y-intercept (b) = 3 Equation: y = -2x + 3
4) -6x + 3y = -9
3y = 6x - 9 Added 6x to both sides
y = 2x - 3 Divided 3 from both sides
↓ ↓
m= 2 b= -3
Slope (m) = 2 y-intercept (b) = -3 Equation: y = 2x - 3
5) x + 3y = 6
3y = -x + 6 Subtracted x from both sides
y = (-1/3)x + 2 Divided 3 from both sides
↓ ↓
m= -1/3 b= 2
Slope (m) = -1/3 y-intercept (b) = 2 Equation: y = (-1/3)x + 2