Question

what is the equation of this linear function? y = ?x +

Explanation:

Step1: Identify two points

Points are $(0, -1)$ and $(1, -5)$

Step2: Calculate slope $m$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - (-1)}{1 - 0} = \frac{-4}{1} = -4$

Step3: Find y-intercept $b$

From point $(0, -1)$, $b = -1$

Step4: Write linear equation

Use $y = mx + b$

Answer:

$y = -4x - 1$