Answer:
y = -1/2x
Explanation:
f(-4) = 2
f(6) = -3
Your points are:
(-4, 2) & (6, -3)
Use the slope formula:
slope: (y₂ - y₁) / (x₂ - x₁)
Plug in values:
(-3 - 2) / (6 - (-4))
Simplify:
= (-5) / (10)
= -1/2
The basic equation is:
y = mx + b
Plug in your slope of -1/2 as m:
y = -1/2x + b
Plug in a point to find b.
2 = -1/2(-4) + b
2 = 2 + b
0 = b
Your equation is:
y = -1/2x
Check by plugging in the other point.
-3 = -1/2(6)
-3 = -3
Your equation is correct.
Hope this helps!