Question

Write a linear function f with the values f(3)=−4 and f(5)=−4

Answer 1

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.