Answer:
-1/2
Step by Step:
An easy equation to remember is y2-y1/x2-x1=slope.
In this problem,-9 is y2 and -3 is y1 so (-9)-(-3) is how you would set up the top half.
8 is x2 and -4 is x1 so 8-(-4) is how you would set up the bottom half.
Next you need to solve,so (-9)-(-3)=-6 and 8-(-4)=12.
Finally,you simplify. Both numbers can be divided by 6,so -6÷6=-1 and 12÷6=2,giving you -1/2 as your slope.
Answer:
y = 3/2x +3
Step-by-step explanation:
y - y1 = m(x + x1)
-3 -(-9) = m(-4 + 8)
6 = 4m
6/4 = 4m/4
3/2 = m
y = mx + b
-3 = 3/2(-4) + b
-3 = -6 + b
-3 + 6 = (-6 + 6) + b
3 = b
Plug it back in
-3 = 3/2(-4) + 3
-3 = -3 so it works
