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What is the slope of the line of best-fit in the scatterplot below? On a graph, a trend line goes through points (3, 12) and (6, 19). StartFraction 9 Over 27 EndFraction StartFraction 3 Over 7 EndFraction StartFraction 7 Over 3 EndFraction StartFraction 27 Over 9 EndFraction
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What is the slope of the line of best-fit in the scatterplot below? On a graph, a trend line goes through points (3, 12) and (6, 19). StartFraction 9 Over 27 En class=

Answer :

To find the slope(m), use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]     And plug in the two points.

(3, 12) = (x₁, y₁)

(6, 19) = (x₂, y₂)

[lines go from left to right, so the point furthest to the left is your 1st point]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-12}{6-3}[/tex]

[tex]m=\frac{7}{3}[/tex]      Your answer is the 3rd option

The slope of the line should be [tex]m = 7\div 3[/tex]

Calculation of the slope of line;

We know that [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

So,

Here (3, 12) = (x₁, y₁)

(6, 19) = (x₂, y₂)

Now

[tex]m = (19 -12) \div (6-3)\\\\m = 7 \div 3[/tex]

Learn more about slope here: https://brainly.com/question/15403517

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