pages read
(43, 30)
(32, 23)
time spent reading (minutes)

$y = \frac{7}{11}x + \frac{29}{11}$
$y = \frac{7}{11}x + \frac{169}{11}$
$y = \frac{11}{7}x - \frac{263}{7}$
$y = \frac{11}{7}x - \frac{43}{7}$

Question

pages read
(43, 30)
(32, 23)
time spent reading (minutes)

$y = \frac{7}{11}x + \frac{29}{11}$
$y = \frac{7}{11}x + \frac{169}{11}$
$y = \frac{11}{7}x - \frac{263}{7}$
$y = \frac{11}{7}x - \frac{43}{7}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Line of Best Fit" ], "new_concepts": [], "current_concepts": [ "Line of Best Fit", "Linear Modeling" ] } ## Calculate the slope of the line passing through the given points $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{30 - 23}{43 - 32} = \frac{7}{11} $$ ## Find the y-intercept using one of the points $$ \begin{aligned} y - y_1 &= m(x - x_1) \ y - 23 &= \frac{7}{11}(x - 32) \ y &= \frac{7}{11}x - \frac{224}{11} + 23 \ y &= \frac{7}{11}x - \frac{224}{11} + \frac{253}{11} \ y &= \frac{7}{11}x + \frac{29}{11} \end{aligned} $$

(A) $y = \frac{7}{11}x + \frac{29}{11}$

(B) $y = \frac{7}{11}x + \frac{169}{11}$

(C) $y = \frac{11}{7}x - \frac{263}{7}$

(D) $y = \frac{11}{7}x - \frac{43}{7}$

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

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QUESTION IMAGE

Question

Explanation:

Calculate the slope of the line passing through the given points

Find the y-intercept using one of the points

Answer: