GCSE Maths - Parallel Lines #74

The video tutorial explains the concept of parallel lines, focusing on their gradients and how to identify them using the equation Y = MX + C. It highlights the importance of ensuring equations are in the correct form to accurately determine gradients. The tutorial provides a step-by-step guide to finding the equation of a line parallel to a given line, using the gradient and a set of coordinates. Key takeaways include understanding that parallel lines share the same gradient and remain equidistant without intersecting.

What is the significance of the 'M' in the equation Y = MX + C?

• It indicates the gradient of the line.

• It represents the y-intercept of the line.

• It shows the x-coordinate of a point on the line.

• It is the constant term in the equation.

Why is it important for an equation to be in the form Y = MX + C?

• To simplify the calculation of the x-intercept.

• To correctly determine the gradient.

• To ensure the equation is linear.

• To easily identify the y-intercept.

How do you find the gradient of the equation 3y = 2x - 9?

• The gradient is 2.

• The gradient is 3.

• The gradient is 2/3.

• The gradient is -9.

If Line A has the equation y = 3x - 4, what is the gradient of a line parallel to it?

• The gradient is 4.

• The gradient is 3.

• The gradient is -4.

• The gradient is 0.

Given a point (1, 4) and a gradient of 3, what is the equation of the line?

• y = 3x + 4

• y = 3x - 1

• y = 3x - 4

• y = 3x + 1