what is the point-slope form of a line that has a slope of $\frac{1}{2}$ and passes through point $(-7, 2)$?

$2 - y = \frac{1}{2}(7 - x)$

$7 - y = \frac{1}{2}(-2 - x)$

$y - 7 = \frac{1}{2}(x - 2)$

$y - 2 = \frac{1}{2}(x - (-7))$

Question

what is the point-slope form of a line that has a slope of $\frac{1}{2}$ and passes through point $(-7, 2)$?

$2 - y = \frac{1}{2}(7 - x)$

$7 - y = \frac{1}{2}(-2 - x)$

$y - 7 = \frac{1}{2}(x - 2)$

$y - 2 = \frac{1}{2}(x - (-7))$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Point-Slope Form" ], "current_concepts": [ "Linear Equations", "Point-Slope Form" ] } ## Identify the point-slope formula $$ y - y_1 = m(x - x_1) $$ ## Substitute the given values $$ \begin{aligned} &m = \frac{1}{2}\ &(x_1, y_1) = (-7, 2)\ &y - 2 = \frac{1}{2}(x - (-7)) \end{aligned} $$

(A) $2-y=\frac{1}{2}(7-x)$

(B) $7-y=\frac{1}{2}(-2-x)$

(C) $y-7=\frac{1}{2}(x-2)$ (D) $y-2=\frac{1}{2}(x-(-7))$

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

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Question

Explanation:

Identify the point-slope formula

Substitute the given values

Answer: