How do you find the slope of y = -2x + 7?

The slope of \( y = -2x + 7 \) is -2.

To find the slope of a linear equation in the form \( y = mx + c \), you need to identify the coefficient of \( x \). In this equation, \( y = -2x + 7 \), the term \( -2x \) indicates that the coefficient of \( x \) is -2. This coefficient, \( m \), represents the slope of the line.

The slope tells you how steep the line is and the direction it goes. A positive slope means the line goes upwards as you move from left to right, while a negative slope means it goes downwards. In this case, the slope is -2, which means for every unit you move to the right along the x-axis, the value of \( y \) decreases by 2 units.

Understanding the slope is crucial for graphing linear equations and analysing their behaviour. It helps you predict how changes in \( x \) will affect \( y \). For example, if you increase \( x \) by 1, \( y \) will decrease by 2 because of the slope of -2. This concept is fundamental in GCSE Maths and will be useful in more advanced topics like calculus and physics.