Answer:
see below
Step-by-step explanation:
Using the equation y = mx + b
1. y = -1, x = -2, m = 5/2
-1 = 5/2(-2) +
-1 = -5 + b => b= -1 + 4 = 3
y = 5/2x + 3
2. y = -2, x = 4, m = 3/4
-2 = 3/4(4) + b
-2 = 3 + b => b = -2 - 3 = 5
y = 3/4x + 5
3. for (-8,5) and (2,0)
Slope m = (y2 - y1)/(x2 - x1) = (0 - 5)/(2 - -8) = -5/10 = -1/2
Point-slope form: y - y1 = m(x - x1)
Using (-8,5): y - -8 = -1/2(x - 5)
=> y + 8 = -1/2(x - 5)
Using (2,0): y - 0 = -1/2(x - 2)
=> y = -1/2(x - 2)
Equation: y + 8 = -1/2(x - 5) OR y = -1/2(x - 2)
4. for (4,-3) and (8,5)
Slope m = (y2 - y1)/(x2 - x1) = (5 - -3)/(8 - 4) = 8/4 = 2
Using (4,-3): y - -3 = 2(x - 4)
=> y + 3 = 2(x - 4)
Using (8,5): y - 5 = 2(x - 8)
Equation: y + 3 = 2(x - 4) OR y - 5 = 2(x - 8)
