Question

parent results not recorded. continue practising or switch user. fill in the missing numbers to complete the linear equation that gives the rule for this table. x | y 3 | -51 4 | -54 5 | -57 6 | -60 y = \boxed{}x - \boxed{}

Explanation:

Step1: Find slope ($m$)

Use two points $(x_1,y_1)=(3,-51)$ and $(x_2,y_2)=(4,-54)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-54-(-51)}{4-3}=\frac{-3}{1}=-3$

Step2: Find y-intercept ($b$)

Use $y=mx+b$, substitute $m=-3$, $x=3$, $y=-51$.
$-51 = -3(3) + b$
$-51 = -9 + b$
$b = -51 + 9 = -42$

Step3: Rewrite in given form

The equation is $y=-3x - (-42)$ simplifies to $y=-3x - 42$ (matches the structure $y=\square x - \square$).

Answer:

$y = -3x - 42$
The missing numbers are $-3$ and $42$ respectively.