wren recorded an outside temperature of $-2^{\circ}\text{f}$ at 8 a.m. when she checked the temperature again, it was $4^{\circ}\text{f}$ at 12:00 p.m. if $x$ represents the time and $y$ represents the temperature in degrees fahrenheit, what is the slope of the line through these two data points?

$\bigcirc$ $-1.5$
$\bigcirc$ $-0.5$
$\bigcirc$ $0.5$
$\bigcirc$ $1.5$

Question

wren recorded an outside temperature of \$-2^{\circ}\text{f}\$ at 8 a.m. when she checked the temperature again, it was \$4^{\circ}\text{f}\$ at 12:00 p.m. if \$x\$ represents the time and \$y\$ represents the temperature in degrees fahrenheit, what is the slope of the line through these two data points?

\$\bigcirc\$ \$-1.5\$
\$\bigcirc\$ \$-0.5\$
\$\bigcirc\$ \$0.5\$
\$\bigcirc\$ \$1.5\$

$\bigcirc$ $-1.5$
$\bigcirc$ $-0.5$
$\bigcirc$ $0.5$
$\bigcirc$ $1.5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope Formula" ], "new_concepts": [], "current_concepts": [ "Slope Formula", "Linear Equations" ] } ## Identify data points from the text $$ \begin{aligned} &\text{Point 1: } (x_1, y_1) = (8, -2) \ &\text{Point 2: } (x_2, y_2) = (12, 4) \end{aligned} $$ ## Calculate the slope using the slope formula $$ \begin{aligned} m &= \frac{y_2 - y_1}{x_2 - x_1} \ m &= \frac{4 - (-2)}{12 - 8} \ m &= \frac{6}{4} = 1.5 \end{aligned} $$

(A) $-1.5$

(B) $-0.5$

(C) $0.5$

(D) $1.5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify data points from the text

Calculate the slope using the slope formula

Answer: