what is the $y$-intercept of a line that has a slope of $-3$ and passes through point $(0, -7)$?

$\bigcirc$ $-7$
$\bigcirc$ $-3$
$\bigcirc$ $0$
$\bigcirc$ $4$

Question

what is the $y$-intercept of a line that has a slope of $-3$ and passes through point $(0, -7)$?

$\bigcirc$ $-7$
$\bigcirc$ $-3$
$\bigcirc$ $0$
$\bigcirc$ $4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations" ] } ## Identify the given information and definition of y-intercept $$ \begin{aligned} &\text{Slope } (m) = -3\ &\text{Point on the line } (x, y) = (0, -7) \end{aligned} $$ ## Determine the y-intercept from the given point $$ \begin{aligned} &\text{By definition, the } y\text{-intercept is the point where } x = 0.\ &\text{Since the line passes through } (0, -7)\text{, the } y\text{-intercept } (b) \text{ is } -7. \end{aligned} $$

(A) -7

(B) -3

(C) 0

(D) 4

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Question

Explanation:

Identify the given information and definition of y-intercept

Determine the y-intercept from the given point

Answer: