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

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Sharpen your skills for the Praxis Middle School Mathematics Test. Prepare with a variety of questions, hints, and explanations. Get ready to ace your exam!

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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