Question

write the linear equation that gives the rule for this table.

x | y
-4 | -84
0 | -28
4 | 28
8 | 84

write your answer as an equation with y first, followed by an equals sign.

submit

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Let's use the points (0, -28) and (4, 28).
$m = \frac{28 - (-28)}{4 - 0} = \frac{56}{4} = 14$.

Step2: Identify the y-intercept (b)

When x = 0, y = -28, so the y-intercept $b = -28$.

Step3: Write the equation

The slope-intercept form is $y = mx + b$. Substituting m = 14 and b = -28, we get $y = 14x - 28$.

Answer:

$y = 14x - 28$