Question

what is the function rule for the linear function in this graph? slope-intercept form $y = mx + b$ $y = ?x + $

Explanation:

Step1: Find the y - intercept (b)

The y - intercept is the value of y when x = 0. From the graph, when x = 0, y = 3. So, b = 3.

Step2: Calculate the slope (m)

We can use two points on the line. Let's take the points (0, 3) and (- 1, - 2). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the values: $m=\frac{-2 - 3}{-1 - 0}=\frac{-5}{-1}=5$.

Answer:

$y = 5x+3$