Question

1. write the equation of the line.

b: ______________ m: ______________
equation: ________________

Explanation:

Step1: Identify y-intercept (b)

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

Step2: Calculate slope (m)

Use two points: $(0,0)$ and $(-2,-3)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-3-0}{-2-0}=\frac{3}{2}$

Step3: Write line equation

Use slope-intercept form $y=mx+b$.
Substitute $m=\frac{3}{2}$ and $b=0$.

Answer:

b: $0$
m: $\frac{3}{2}$
Equation: $y=\frac{3}{2}x$