Question

write the linear equation that gives the rule for this ta
x | y
20 | 40
27 | 54
34 | 68
41 | 82
write your answer as an equation with y first, followed

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Let's take the first two points (20, 40) and (27, 54).
$m = \frac{54 - 40}{27 - 20} = \frac{14}{7} = 2$

Step2: Find the y-intercept (b)

Use the slope-intercept form $y = mx + b$. Plug in $m = 2$ and a point, say (20, 40).
$40 = 2(20) + b$
$40 = 40 + b$
Subtract 40 from both sides: $b = 0$

Step3: Write the equation

Using $y = mx + b$ with $m = 2$ and $b = 0$, we get $y = 2x$

Answer:

$y = 2x$