Question

1. m = _____ b = _____

equation = _______

Explanation:

Step1: Calculate slope $m$

Choose two points, e.g., $(0,3)$ and $(1,-1)$. Use slope formula:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-3}{1-0}=\frac{-4}{1}=-4$$

Step2: Identify y-intercept $b$

The y-intercept is the $y$-value when $x=0$. From the table, when $x=0$, $y=3$, so $b=3$.

Step3: Write linear equation

Use slope-intercept form $y=mx+b$:
$$y=-4x+3$$

Answer:

$M=-4$
$b=3$
$\text{Equation}=y=-4x+3$