Question

fill in the missing numbers to complete the linear equation that gives the rule for this table.
x | 4 | 5 | 6 | 7
y | 321 | 470 | 619 | 768
y = x -

Explanation:

Step1: Find the slope (m)

We use two points \((x_1,y_1)=(4,321)\) and \((x_2,y_2)=(5,470)\). The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
\(m=\frac{470 - 321}{5 - 4}=\frac{149}{1}=149\)

Step2: Find the y - intercept (b)

Use the point - slope form \(y - y_1=m(x - x_1)\) with \((x_1,y_1)=(4,321)\) and \(m = 149\).
\(y-321 = 149(x - 4)\)
\(y-321=149x-596\)
\(y=149x-596 + 321\)
\(y=149x-275\)

Answer:

\(y = 149x-275\)