Subjects algebra

Find Slopes

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1. The problem is to find the slopes from given linear equations. 2. Recall that the slope of a line in the form $y = mx + b$ is the coefficient $m$ of $x$. 3. For each equation, rewrite it in slope-intercept form $y = mx + b$ if needed. 4. Identify the slope $m$ directly from the equation. 5. For example, if the equation is $y = 3x + 2$, the slope is $3$. 6. If the equation is in standard form $Ax + By = C$, solve for $y$: $$y = -\frac{A}{B}x + \frac{C}{B}$$ so the slope is $-\frac{A}{B}$. 7. Apply this to each equation to find all slopes. Final answer: The slopes are the coefficients of $x$ in the slope-intercept form of each equation.