Question

1. write the equation of the line.

b: ____________ m: ____________
equation: ______________

Explanation:

Step1: Identify clear points on line

The visible points are $(-2, 3)$ and $(2, 1)$.

Step2: Calculate y-intercept ($b$)

The line crosses the y-axis at $(0, 2)$, so $b=2$.

Step3: Calculate slope ($m$)

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{1-3}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}$

Step4: Write line equation

Use slope-intercept form $y=mx+b$
$y=-\frac{1}{2}x+2$

Answer:

b: $2$
m: $-\frac{1}{2}$
Equation: $y=-\frac{1}{2}x+2$