question 1 of 10

lines $s$ and $t$ are perpendicular. if the slope of line $s$ is 5, what is the slope of line $t$?

a. 5

b. $\frac{1}{5}$

c. -5

d. $-\frac{1}{5}$

Question

question 1 of 10

lines $s$ and $t$ are perpendicular. if the slope of line $s$ is 5, what is the slope of line $t$?

a. 5

b. $\frac{1}{5}$

c. -5

d. $-\frac{1}{5}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Perpendicular Slopes" ], "current_concepts": [ "Perpendicular Slopes", "Coordinate Geometry" ] } ## Identify the perpendicular slope relationship $$ m_s \cdot m_t = -1 $$ ## Substitute the given slope of line s $$ \begin{aligned} 5 \cdot m_t &= -1 \ m_t &= -\frac{1}{5} \end{aligned} $$

(A) 5

(B) $\frac{1}{5}$

(C) -5

(D) $-\frac{1}{5}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Perpendicular Slopes" ] }

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Question

Explanation:

Identify the perpendicular slope relationship

Substitute the given slope of line s

Answer: