question 7 of 25

if $\overline{ab}$ is parallel to $\overline{cd}$ and the slope of $\overline{cd}$ is -5, what is the slope of $\overline{ab}$?

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

b. 5

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

d. -5

Question

question 7 of 25

if $\overline{ab}$ is parallel to $\overline{cd}$ and the slope of $\overline{cd}$ is -5, what is the slope of $\overline{ab}$?

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

b. 5

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

d. -5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parallel Line Slopes" ], "new_concepts": [], "current_concepts": [ "Parallel Line Slopes", "Coordinate Geometry" ] } ## Identify the relationship between the lines $$ \overleftrightarrow{AB} \parallel \overleftrightarrow{CD} $$ ## Apply the parallel line slope property $$ m_{AB} = m_{CD} $$ ## Determine the slope of the parallel line $$ \begin{aligned} &m_{CD} = -5 \ &m_{AB} = -5 \end{aligned} $$

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

(B) 5

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

(D) -5

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

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QUESTION IMAGE

Question

Explanation:

Identify the relationship between the lines

Apply the parallel line slope property

Determine the slope of the parallel line

Answer: