3. write the equation of the line below in slope-intercept form.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Slope of a Line", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope of a Line", "Slope-Intercept Form" ] } ## Identify the y-intercept Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &\text{The line crosses the } y\text{-axis at } (0, -7).\ &b = -7 \end{aligned} $$ ## Determine the slope Using the *Slope of a Line* knowledge point $$ \begin{aligned} &\text{Identify two points on the line: } (0, -7) \text{ and } (4, 1).\ &m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-7)}{4 - 0} = \frac{8}{4} = 2 \end{aligned} $$ ## Write the equation Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &y = mx + b\ &y = 2x - 7 \end{aligned} $$ $y = 2x - 7$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Question

Explanation:

Identify the y-intercept

Determine the slope

Write the equation

Answer: