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

slope = 5
point on the line = $(-4, 1)$

answer:
$y =$

Question

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

slope = 5
point on the line = $(-4, 1)$

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": [ "Algebraic Substitution", "Linear Equations Solving" ], "new_concepts": [ "Slope-Intercept Form", "Point-Slope Form" ], "current_concepts": [ "Slope-Intercept Form", "Algebraic Substitution", "Linear Equations Solving" ] } ## Substitute the given slope and point into the slope-intercept equation $$ \begin{aligned} &y = mx + b \ &m = 5, \quad (x, y) = (-4, 1) \ &1 = 5(-4) + b \end{aligned} $$ ## Solve for the y-intercept $$ \begin{aligned} &1 = -20 + b \ &b = 21 \end{aligned} $$ ## Write the final equation in slope-intercept form $$ y = 5x + 21 $$ Write the equation of the line in slope-intercept form $(y = mx + b)$. Slope = 5 Point on the line = $(-4, 1)$ Answer: $y =$ $5x + 21$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the given slope and point into the slope-intercept equation

Solve for the y-intercept

Write the final equation in slope-intercept form

Answer: