Answer:
[tex] f(x) = \frac{1}{3}x - 4 [/tex]
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).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-4)}{3 - 0} = \frac{1}{3} [/tex]
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 [tex] f(x) = mx + b [/tex]
The linear function equation would be:
✔️ [tex] f(x) = \frac{1}{3}x + (-4) [/tex]
[tex] f(x) = \frac{1}{3}x - 4 [/tex]
