select the correct answer.

which equation represents the line that is parallel to $y = 3$ and passes through $(-2, -8)$?

$x = -2$
$x = 3$
$y = -8$
$y = 3x - 2$

Question

select the correct answer.

which equation represents the line that is parallel to $y = 3$ and passes through $(-2, -8)$?

$x = -2$
$x = 3$
$y = -8$
$y = 3x - 2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Functions" ], "new_concepts": [ "Horizontal Lines", "Parallel Lines" ], "current_concepts": [ "Linear Functions", "Horizontal Lines", "Parallel Lines" ] } ## Identify the slope of the given line $$ y = 3 \implies m = 0 $$ ## Determine the equation of the parallel line $$ \begin{aligned} &y - y_1 = m(x - x_1) \ &y - (-8) = 0(x - (-2)) \ &y = -8 \end{aligned} $$

(A) $x = -2$

(B) $x = 3$

(C) $y = -8$

(D) $y = 3x - 2$

{ "elements": [ { "type": "line", "params": [[-10, 3], [10, 3]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "y = 3", "withLabel": true } }, { "type": "line", "params": [[-10, -8], [10, -8]], "properties": { "strokeColor": "#F2557F", "strokeWidth": 2, "name": "y = -8", "withLabel": true } }, { "type": "point", "params": [[-2, -8]], "properties": { "name": "(-2, -8)", "size": 4, "color": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the slope of the given line

Determine the equation of the parallel line

Answer: