What is the slope of a line parallel to y = -x + 6?

The slope of a line parallel to y = -x + 6 is -1.

In mathematics, the slope of a line is a measure of its steepness and direction. For the equation of a line in the form y = mx + c, the coefficient m represents the slope. In the given equation y = -x + 6, the slope m is -1.

When two lines are parallel, they have the same slope. This means that any line parallel to y = -x + 6 will also have a slope of -1. The y-intercept (the value of c) can be different, but the slope must remain the same for the lines to be parallel.

Understanding the concept of slope is crucial in GCSE Maths as it helps in analysing the relationship between variables in linear equations. The slope tells us how much y changes for a unit change in x. A negative slope, like -1, indicates that as x increases, y decreases at a constant rate.

So, if you come across any line with the equation y = -x + b, where b can be any number, you can be confident that it is parallel to y = -x + 6 because they share the same slope of -1.