How do you determine the slope of a line parallel to y = -2x + 5?

The slope of a line parallel to y = -2x + 5 is -2.

To determine the slope of a line parallel to a given line, you need to look at the coefficient of \( x \) in the equation of the given line. The equation \( y = -2x + 5 \) is in the slope-intercept form, which is \( y = mx + c \), where \( m \) represents the slope and \( c \) represents the y-intercept. In this case, the slope \( m \) is -2.

When two lines are parallel, they have the same slope. This means that any line parallel to \( y = -2x + 5 \) will also have a slope of -2. The y-intercept (the \( c \) value) can be different, but the slope must be the same for the lines to be parallel.

For example, if you have another line with the equation \( y = -2x + 3 \), this line is parallel to \( y = -2x + 5 \) because the slope is also -2. Similarly, \( y = -2x - 7 \) is another line parallel to the original line, as it shares the same slope of -2.

Understanding the concept of slope is crucial in GCSE Maths, as it helps you analyse and compare different lines on a graph. Remember, the key to identifying parallel lines is to check if their slopes are identical.