Answer:
y = -4
Explanation:
A linear function is
y = mx + b
m is the slope
b is the y-intercept
To find the slope, we can use the given points and the formula
(y2 - y1) / (x2 - x1)
(-4 - (-4)) / (5 - 3)
0 / 2 = 0
So, since the slope is 0, our equation is now
y = 0 + b
To solve for b, let's plug in one of our points (3, -4)
-4 = 0 + b
b = -4
Our equation is now
y = -4
Instead of solving this long way, you could have also realized that since two different x-values give you the same y-value, and the function is linear, it has to be a horizontal line at the y-value with 0 slope.