question 5 of 10

what is the point-slope form of a line with slope $\frac{2}{5}$ that contains the point (-3, 6)?

a. $y + 6 = \frac{2}{5}(x + 3)$
b. $y - 6 = \frac{2}{5}(x + 3)$
c. $y - 6 = -\frac{2}{5}(x + 3)$
d. $y - 3 = \frac{2}{5}(x + 3)$

Question

question 5 of 10

what is the point-slope form of a line with slope $\frac{2}{5}$ that contains the point (-3, 6)?

a. $y + 6 = \frac{2}{5}(x + 3)$
b. $y - 6 = \frac{2}{5}(x + 3)$
c. $y - 6 = -\frac{2}{5}(x + 3)$
d. $y - 3 = \frac{2}{5}(x + 3)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Point-Slope Form", "Linear Equations", "Coordinate Geometry" ] } ## Identify the point-slope formula $$ y - y_1 = m(x - x_1) $$ ## Substitute the given values $$ \begin{aligned} &m = \frac{2}{5}\ &(x_1, y_1) = (-3, 6)\ &y - 6 = \frac{2}{5}(x - (-3)) \end{aligned} $$ ## Simplify the equation $$ y - 6 = \frac{2}{5}(x + 3) $$

(A) $y+6=\frac{2}{5}(x+3)$

(B) $y-6=\frac{2}{5}(x+3)$

(C) $y-6=-\frac{2}{5}(x+3)$

(D) $y-3=\frac{2}{5}(x+3)$

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

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QUESTION IMAGE

Question

Explanation:

Identify the point-slope formula

Substitute the given values

Simplify the equation

Answer: