For a line given by Ax + By = C with B not equal to zero, what is the slope m?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

For a line given by Ax + By = C with B not equal to zero, what is the slope m?

Explanation:
To find the slope, rewrite the line in slope-intercept form y = mx + b, where m is the slope. Starting with Ax + By = C and B ≠ 0, solve for y: By = -Ax + C, so y = (-A/B)x + (C/B). The coefficient of x is the slope, giving m = -A/B. If B were 0, the line would be vertical with undefined slope, which is why the condition B ≠ 0 is important.

To find the slope, rewrite the line in slope-intercept form y = mx + b, where m is the slope. Starting with Ax + By = C and B ≠ 0, solve for y: By = -Ax + C, so y = (-A/B)x + (C/B). The coefficient of x is the slope, giving m = -A/B. If B were 0, the line would be vertical with undefined slope, which is why the condition B ≠ 0 is important.

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