1.
a.
(0,-6) (3,-4)
slope = (-4 + 6) /(3-0) = 2/3, b = -6
so
equation: y = 2/3x -6
b.
(0,-2) (-3,2)
slope = (2+2) / (-3 - 0) = -4/3, b = - 2
equation:
y = -4/3x - 2
c.
(-1,-2)(0,2)
slope = (2+2)/(0+1) = 4
b = 2
equation
y = 4x + 2
d
(0,-8)(2,-5)
slope = (-5 +8)/(2 - 0) = 3/2, b = -8
equation y = 3/2x - 8
2.
a. (6,3) (-4, -12)
slope = (3+12)/(6+4) = 15/10 = 3/2
passing thru (6,3)
y = mx + b
3 = 3/2(6) + b
3 = 9 + b
b = -6
equation: y = 3/2x - 6
b. (6,-16)(-3,-4)
slope = (-4 + 16)/(-3 - 6) = 12/-9 = -4/3
passing thru (-3,-4)
y = mx + b
-4 = (-4/3)(-3) + b
-4 = 4 +b
b = - 8
equation y = -4/3x - 8
3.
a) 8x + 4y = 16
4y = -8x +16
y = -2x +4
b.
6x - 8y = 24
8y = 6x - 24
y = 3/4x - 3
