Find the slope of the line with equation 3x + 2y = 10

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Slope-Intercept Form):","type":"text"},{"text":" The standard slope-intercept form of a linear equation is ","type":"text"},{"attrs":{"latex":"y = mx + c"},"type":"math_inline"},{"text":", where ","type":"text"},{"attrs":{"latex":"m"},"type":"math_inline"},{"type":"text","text":" is the slope."}],"type":"paragraph"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Convert the given equation):","type":"text"},{"text":" We rewrite ","type":"text"},{"attrs":{"latex":"3x + 2y = 10"},"type":"math_inline"},{"type":"text","text":" to isolate "},{"type":"math_inline","attrs":{"latex":"y"}},{"type":"text","text":":"}]},{"attrs":{"latex":"2y = -3x + 10"},"type":"math_block"},{"type":"paragraph","content":[{"text":"Dividing both sides by 2:","type":"text"}]},{"attrs":{"latex":"y = -\frac{3}{2}x + 5"},"type":"math_block"},{"type":"math_block","attrs":{"latex":"y = -1.5x + 5"}},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"type":"text","text":" The slope "},{"attrs":{"latex":"m"},"type":"math_inline"},{"type":"text","text":" of the line is exactly "},{"marks":[{"type":"code"}],"text":"-1.5","type":"text"},{"type":"text","text":" (or "},{"text":"-3/2","type":"text","marks":[{"type":"code"}]},{"type":"text","text":")."}],"type":"paragraph"}],"type":"doc"}

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