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 4 5 6 7 y -10 -18 -26 -34 y = \square x + \square submit

Explanation:

Step1: Calculate slope (m)

Use two points $(x_1,y_1)=(4,-10)$ and $(x_2,y_2)=(5,-18)$
$m = \frac{y_2-y_1}{x_2-x_1} = \frac{-18-(-10)}{5-4} = \frac{-8}{1} = -8$

Step2: Find y-intercept (b)

Substitute $m=-8$, $x=4$, $y=-10$ into $y=mx+b$:
$-10 = (-8)(4) + b$
$-10 = -32 + b$
$b = -10 + 32 = 22$

Step3: Verify with another point

Check $(x=6,y=-26)$:
$y = (-8)(6) + 22 = -48 + 22 = -26$, which matches.
Check $(x=7,y=-34)$:
$y = (-8)(7) + 22 = -56 + 22 = -34$, which matches.

Answer:

$y = -8x + 22$