Question

fill in the missing numbers to complete the linear equatio table.

x | y
0 | 0
1 | 11
2 | 22
3 | 33

y = \square x + \square

Explanation:

Step1: Find the slope (m)

The slope \( m \) of a line is calculated by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Using the points \((0,0)\) and \((1,11)\), we have \( m=\frac{11 - 0}{1 - 0}=11 \).

Step2: Find the y - intercept (b)

The linear equation is \( y = mx + b \). When \( x = 0 \), \( y = 0 \). Substituting into the equation \( 0=11\times0 + b \), we get \( b = 0 \).

Answer:

\( y=\boxed{11}x+\boxed{0} \)