Question

1. write the equation of the line.

b: ______________ m: ______________
equation: ________________

Explanation:

Step1: Identify y-intercept ($b$)

The line crosses the y-axis at $(0,1)$, so $b=1$.

Step2: Calculate slope ($m$)

Use two points: $(0,1)$ and $(2,0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-1}{2-0}=-\frac{1}{2}$

Step3: Write line equation

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

Answer:

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