a line intersects the points $(4, 3)$ and $(11, -4)$.

what is the slope of this line in simplest form?

$m = ? $

Question

a line intersects the points $(4, 3)$ and $(11, -4)$.

what is the slope of this line in simplest form?

$m =  ? $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Slope Calculation" ], "new_concepts": [], "current_concepts": [ "Slope Calculation", "Coordinate Plane" ] } ## Identify the given coordinates Using the *Slope Calculation* knowledge point $$ (x_1, y_1) = (4, 3),\quad (x_2, y_2) = (11, -4) $$ ## Calculate the slope Using the *Slope Calculation* knowledge point $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 3}{11 - 4} = \frac{-7}{7} = -1 $$ A line intersects the points $(4, 3)$ and $(11, -4)$. What is the slope of this line in simplest form? $m =$ -1 { "elements": [ { "type": "point", "params": [[4, 3]], "properties": { "name": "(4, 3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[11, -4]], "properties": { "name": "(11, -4)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[4, 3], [11, -4]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2 } } ], "timestamps": [0.5, 1.0] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Slope Calculation" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given coordinates

Calculate the slope

Answer: