question 10 of 10

which of the following is the equation of a line in slope-intercept form for a line with slope = $\frac{2}{3}$ and y-intercept at (0, -2)?

a. $y = \frac{2}{3}x - 2$

b. $y = -2x - \frac{2}{3}$

c. $y = -\frac{2}{3}x + \frac{2}{3}$

d. $y = -\frac{3}{2}x - 2$

Question

question 10 of 10

which of the following is the equation of a line in slope-intercept form for a line with slope = $\frac{2}{3}$ and y-intercept at (0, -2)?

a. $y = \frac{2}{3}x - 2$

b. $y = -2x - \frac{2}{3}$

c. $y = -\frac{2}{3}x + \frac{2}{3}$

d. $y = -\frac{3}{2}x - 2$

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" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations" ] } ## Identify the slope and y-intercept $$ \begin{aligned} m &= \frac{2}{3} \ b &= -2 \end{aligned} $$ ## Substitute values into slope-intercept form $$ \begin{aligned} y &= mx + b \ y &= \frac{2}{3}x - 2 \end{aligned} $$

(A) $y = \frac{2}{3}x - 2$

(B) $y = -2x - \frac{2}{3}$

(C) $y = -\frac{2}{3}x + \frac{2}{3}$

(D) $y = -\frac{3}{2}x - 2$

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

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Question

Explanation:

Identify the slope and y-intercept

Substitute values into slope-intercept form

Answer: