question 6 of 10

which of the following is the equation of a line in slope-intercept form for a line with slope = 5 and y-intercept at (0, -3)?

a. $y = -3x + 5$
b. $y = 5x - 3$
c. $y = 5x + 3$
d. $x = 3y - 5$

Question

question 6 of 10

which of the following is the equation of a line in slope-intercept form for a line with slope = 5 and y-intercept at (0, -3)?

a. $y = -3x + 5$
b. $y = 5x - 3$
c. $y = 5x + 3$
d. $x = 3y - 5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations" ] } ## Identify slope and y-intercept $$ \begin{aligned} m &= 5 \ b &= -3 \end{aligned} $$ ## Substitute into slope-intercept form $$ \begin{aligned} y &= mx + b \ y &= 5x - 3 \end{aligned} $$

A. $y = -3x + 5$

B. $y = 5x - 3$

C. $y = 5x + 3$

D. $x = 3y - 5$

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

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Question

Explanation:

Identify slope and y-intercept

Substitute into slope-intercept form

Answer: