Question

What is the linear function equation represented by the graph?

Answer 1

Answer:

$f(x) = \frac{1}{3}x - 4$

Step-by-step explanation:

Determine the slope value, m, and the y-intercept value, b.

Find the slope, m using two points, (0, -4) and (3, -3).

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-4)}{3 - 0} = \frac{1}{3}$

m = ⅓.

The y-intercept (b) = -4 (this is where the y-axis is intercepted by the line)

To get the linear function equation, substitute m = ⅓, and b = -4 into $f(x) = mx + b$

The linear function equation would be:

✔️ $f(x) = \frac{1}{3}x + (-4)$

$f(x) = \frac{1}{3}x - 4$