Question

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

x	y
2	38
3	57
4	76

$y = \square x + \square$

Explanation:

Step1: Find the slope (m)

The formula for slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Using points (1,19) and (2,38):
\( m = \frac{38 - 19}{2 - 1} = \frac{19}{1} = 19 \).

Step2: Find the y-intercept (b)

Use the linear equation \( y = mx + b \) and a point (e.g., (1,19)):
\( 19 = 19(1) + b \)
\( 19 = 19 + b \)
Subtract 19: \( b = 0 \).

Answer:

\( y = \boldsymbol{19}x + \boldsymbol{0} \)