find an equation of the line that goes through the points $(-2, 10)$ and $(5, -11)$. write your answer in slope-intercept form.

$y = $

Question

find an equation of the line that goes through the points $(-2, 10)$ and $(5, -11)$. write your answer in slope-intercept form.

$y = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_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" ] } ## Calculate the slope of the line Using the *Slope-Intercept Form* knowledge point $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-11 - 10}{5 - (-2)} = \frac{-21}{7} = -3 $$ ## Find the y-intercept Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} y &= mx + b \ 10 &= -3(-2) + b \ 10 &= 6 + b \ b &= 4 \end{aligned} $$ ## Write the final equation Using the *Slope-Intercept Form* knowledge point $$ y = -3x + 4 $$ Find an equation of the line that goes through the points $(-2, 10)$ and $(5, -11)$. Write your answer in slope-intercept form. $y =$ $-3x + 4$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the slope of the line

Find the y-intercept

Write the final equation

Answer: