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**1. Can you explain the difference between a linear and a quadratic equation, and how their graphs differ?**

Linear equations are first-degree equations in the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the y-intercept. Their graphs are straight lines, and they can rise, fall, or remain constant depending on the slope.

Quadratic equations, on the other hand, are second-degree equations in the form \( y = ax^2 + bx + c \). Their graphs are parabolas, which can open upwards or downwards depending on the sign of \( a \). If \( a > 0 \), the parabola opens upwards, and if \( a < 0 \), it opens downwards.

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Can you explain the difference between a linear and a quadratic equation, and how their graphs differ?

Explore the differences between linear and quadratic equations and how their graphs behave. Learn the formulas for linear equations (y = mx + b) and quadratic equations (y = ax^2 + bx + c), and understand the visual distinctions between straight lines and parabolas. Ideal for students in Grades 8-10.

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