the equation $y - 3 = -2(x + 5)$ is written in point-slope form. what is the y-intercept of the line?

$\bigcirc$ -13
$\bigcirc$ -7
$\bigcirc$ 2
$\bigcirc$ 8

Question

the equation $y - 3 = -2(x + 5)$ is written in point-slope form. what is the y-intercept of the line?

$\bigcirc$ -13
$\bigcirc$ -7
$\bigcirc$ 2
$\bigcirc$ 8

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Point-Slope Form", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form", "Slope-Intercept Form", "Linear Equations" ] } ## Substitute x = 0 to find the y-intercept $$ \begin{aligned} y - 3 &= -2(0 + 5) \ y - 3 &= -2(5) \ y - 3 &= -10 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= -10 + 3 \ y &= -7 \end{aligned} $$

-13

-7

2

8

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

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QUESTION IMAGE

Question

Explanation:

Substitute x = 0 to find the y-intercept

Solve for y

Answer: