put the following equation in slope-intercept form: $y - 3 = \frac{1}{2}(x - 5)$

$y =$

Question

put the following equation in slope-intercept form: $y - 3 = \frac{1}{2}(x - 5)$

$y =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations" ] } ## Distribute the slope on the right side Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} y - 3 &= \frac{1}{2}(x - 5) \ y - 3 &= \frac{1}{2}x - \frac{5}{2} \end{aligned} $$ ## Isolate y to write in slope-intercept form Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} y &= \frac{1}{2}x - \frac{5}{2} + 3 \ y &= \frac{1}{2}x - \frac{5}{2} + \frac{6}{2} \ y &= \frac{1}{2}x + \frac{1}{2} \end{aligned} $$ Put the following equation in slope-intercept form: $y - 3 = \frac{1}{2}(x - 5)$ $y =$ $\frac{1}{2}x + \frac{1}{2}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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Question

Explanation:

Distribute the slope on the right side

Isolate y to write in slope-intercept form

Answer: