Question

1. make a scatter plot for the eater egg hunt data. easter egg hunt number of easter eggs found age of child 2. draw a line of best fit through the data. use a ruler. 3. find the slope of the line of best fit using two ordered pairs on the line. ordered pair 1 __________ ordered pair 2 ________ slope __________ 4. use the slope of the line and one of the ordered pairs to write an equation of the line in slope - intercept form.

Explanation:

Step1: Select two ordered - pairs

Let's choose (5, 14) as Ordered Pair 1 and (10, 26) as Ordered Pair 2.

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 5,y_1 = 14,x_2 = 10,y_2 = 26$ into the formula, we get $m=\frac{26 - 14}{10 - 5}=\frac{12}{5}=2.4$.

Step3: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. We use the slope $m = 2.4$ and the ordered pair (5, 14). Substitute into the equation: $14=2.4\times5 + b$. Solve for $b$: $14 = 12 + b$, so $b=14 - 12=2$. The equation of the line is $y = 2.4x+2$.

Answer:

Ordered Pair 1: (5, 14)
Ordered Pair 2: (10, 26)
Slope: 2.4
Equation of the line: $y = 2.4x + 2$