shane created a scatter plot and drew a line of best fit, as shown.

what is the equation of the line of best fit that shane drew?

$y = 5x + 10$

$y = 5x + 11$

$y = \frac{1}{5}x + 10$

$y = \frac{1}{5}x + 11$

Question

shane created a scatter plot and drew a line of best fit, as shown.

what is the equation of the line of best fit that shane drew?

$y = 5x + 10$

$y = 5x + 11$

$y = \frac{1}{5}x + 10$

$y = \frac{1}{5}x + 11$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Line of Best Fit", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Line of Best Fit", "Slope-Intercept Form" ] } ## Identify the y-intercept Using the *Slope-Intercept Form* and *Line of Best Fit* knowledge points $$ \begin{aligned} &\text{At } x = 0, \text{ the line intersects the y-axis at } y = 10.\ &b = 10 \end{aligned} $$ ## Determine the slope Using the *Slope-Intercept Form* and *Line of Best Fit* knowledge points $$ \begin{aligned} &\text{Identify a second point on the line: } (12, 12)\ &m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{12 - 0} = \frac{2}{12} = \frac{1}{6} \end{aligned} $$ ## Formulate the equation Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &y = mx + b\ &y = \frac{1}{6}x + 10 \end{aligned} $$

(A) $y = 5x + 10$

(B) $y = 5x + 11$

(C) $y = \frac{1}{6}x + 10$

(D) $y = \frac{1}{6}x + 11$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Line of Best Fit" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the y-intercept

Determine the slope

Formulate the equation

Answer: