What is the slope of a line parallel to y = 2x - 4?

The slope of a line parallel to y = 2x - 4 is 2.

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 = 2x - 4, the slope 'm' is 2.

When two lines are parallel, they have the same slope. This means that any line parallel to y = 2x - 4 will also have a slope of 2. The y-intercept (the 'c' value) can be different, but the slope must remain the same for the lines to be parallel.

Understanding slopes is crucial in GCSE Maths as it helps in graphing linear equations and analysing their relationships. The slope tells you how much the y-value (vertical change) changes for a unit change in the x-value (horizontal change). A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.

So, if you come across any line and you know its slope, you can easily determine the slope of any line parallel to it. This concept is widely used in various applications, including geometry, physics, and even economics, making it a fundamental part of your maths toolkit.