write the equation of the line in slope-intercept form $y = mx + b$.

two points on the line = $(3, 0)$ and $(8, 5)$

answer:

$y =$

Question

write the equation of the line in slope-intercept form $y = mx + b$.

two points on the line = $(3, 0)$ and $(8, 5)$

answer:

$y =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Point-Slope Form", "Linear Equations" ] } ## Calculate the slope of the line $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{8 - 3} = \frac{5}{5} = 1 $$ ## Find the y-intercept using point-slope form $$ \begin{aligned} y - y_1 &= m(x - x_1) \ y - 0 &= 1(x - 3) \ y &= x - 3 \end{aligned} $$ Write the equation of the line in slope-intercept form ($y = mx + b$). Two points on the line = $(3, 0)$ and $(8, 5)$ Answer: $y =$ $x - 3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the slope of the line

Find the y-intercept using point-slope form

Answer: