complete the point-slope equation of the line through $(-1, -10)$ and $(5, 2)$.
use exact numbers.

$y - 2 =$

Question

complete the point-slope equation of the line through $(-1, -10)$ and $(5, 2)$.
use exact numbers.

$y - 2 =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Point-Slope Form", "Slope Formula" ], "current_concepts": [ "Slope Formula", "Point-Slope Form" ] } ## Calculate the slope of the line $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - (-10)}{5 - (-1)} = \frac{12}{6} = 2 $$ ## Write the point-slope equation using the point (5, 2) $$ \begin{aligned} y - y_1 &= m(x - x_1) \ y - 2 &= 2(x - 5) \end{aligned} $$ Complete the point-slope equation of the line through $(-1, -10)$ and $(5, 2)$. Use exact numbers. $y - 2 =$ $2(x - 5)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Point-Slope Form" ] }

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Question

Explanation:

Calculate the slope of the line

Write the point-slope equation using the point (5, 2)

Answer: