Question

fill in the missing numbers to complete the lin table.
x | y
3 | 77
4 | 79
5 | 81
6 | 83
y = \square x + \square
submit

Explanation:

Step1: Find the slope (m)

The formula for slope between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using \((3,77)\) and \((4,79)\):
\(m=\frac{79 - 77}{4 - 3}=\frac{2}{1}=2\)

Step2: Find the y-intercept (b)

Use the equation \(y = mx + b\) and a point, say \((3,77)\) with \(m = 2\):
\(77=2\times3 + b\)
\(77 = 6 + b\)
\(b=77 - 6 = 71\)

Answer:

\(y=\boxed{2}x+\boxed{71}\)