write the equation of the line given the slope of $\frac{2}{3}$ and the y-intercept of -1.

$y = -x + \frac{2}{3}$
$y = 3x - 1$
$y = \frac{2}{3}x$
$y = \frac{2}{3}x - 1$

Question

write the equation of the line given the slope of $\frac{2}{3}$ and the y-intercept of -1.

$y = -x + \frac{2}{3}$
$y = 3x - 1$
$y = \frac{2}{3}x$
$y = \frac{2}{3}x - 1$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_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", "y-intercept" ] } ## Identify the given values Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} m &= \frac{2}{3} \ b &= -1 \end{aligned} $$ ## Write the equation of the line Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} y &= mx + b \ y &= \frac{2}{3}x - 1 \end{aligned} $$

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

(B) $y = 3x - 1$

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

(D) $y = \frac{2}{3}x - 1$

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

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Question

Explanation:

Identify the given values

Write the equation of the line

Answer: