Q
QuestionMathematics

Rewrite the standard form equation Ax+By=C in slope-intercept form. What expression corresponds to the slope of the line represented by Ax+By=C?
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Answer

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Step 1:
: To rewrite the standard form equation Ax + By = C in slope-intercept form, we need to isolate y.

Ax + By = C

Step 2:
: Start by subtracting Ax from both sides of the equation.

By = -Ax + C

Step 3:
: Now, divide both sides by B to solve for y.

y = -\frac{A}{B}x + \frac{C}{B}

Step 4:
: The expression that corresponds to the slope of the line represented by Ax + By = C is -A/B.

Final Answer

The slope of the line represented by Ax + By = C is -A/B.