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question 1 of 10 estimate the line of best fit using two points on the …

Question

question 1 of 10 estimate the line of best fit using two points on the line.

Explanation:

Step1: Find the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given the points $(2,64)$ and $(6,32)$, we have $x_1 = 2,y_1=64,x_2 = 6,y_2 = 32$. Then $m=\frac{32 - 64}{6 - 2}=\frac{-32}{4}=-8$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Let's use the point $(2,64)$ and $m=-8$.
$y-64=-8(x - 2)$
$y-64=-8x + 16$
$y=-8x+80$

Answer:

$y=-8x + 80$