What is the slope of a line parallel to y = 5x + 3?

The slope of a line parallel to y = 5x + 3 is 5.

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 = 5x + 3, the slope 'm' is 5.

When two lines are parallel, they have the same slope. This means that any line parallel to y = 5x + 3 will also have a slope of 5. 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 the relationship between variables. Remember, the slope tells you how much the y-value changes for a unit change in the x-value. A positive slope, like 5, indicates that as x increases, y also increases.

So, if you come across any line with the equation y = 5x + b, where 'b' can be any number, you can confidently say that it is parallel to y = 5x + 3 because they share the same slope of 5.