Question

Write the slope intercept form of the equation of each line through the given points

Answer 1

1. Through: (5, -1) and (-5, -4) 
slope = (-4 +1)/(-5 -5) = -3/-10 = 3/10
y = mx + b
-1 = 3/10 (5) + b
-1 = 3/2 + b
b = -1 -3/2
b = - 5/2
equation

y = 3/10x - 5/2

2. Through: (-3, 2) and (0, -1) 
slope = (-1 - 2)/(0 +3) = -3/3 =-1
passing thru (0, -1) so b = -1

equation
y = -x - 1