GCSE Secondary Maths Age 13-17 - Geometry & Measures: Equation of a straight line - Explained

The video tutorial explains how to determine if two lines are parallel by comparing their gradients. It starts with the equations of two lines, L1 and L2, and explains the concept of parallel lines having the same gradient. The tutorial then demonstrates how to find the gradient of L1 directly from its equation and how to rearrange the equation of L2 to find its gradient. Both lines are shown to have a gradient of 3, confirming they are parallel. The video concludes with a discussion on the marking scheme for the problem.

What is the key characteristic of parallel lines?

• They have different gradients.

• They are perpendicular to each other.

• They have the same gradient.

• They intersect at one point.

In the equation y = mx + c, what does 'm' represent?

• The constant term

• The y-intercept

• The x-intercept

• The gradient of the line

What is the gradient of line L1 given by the equation y = 3x - 2?

• 3

• -3

• -2

• 2

After rearranging the equation 3y - 9x + 5 = 0, what is the gradient of line L2?

• 5

• 9

• -9

• 3

Why are lines L1 and L2 considered parallel?

• They have different gradients.

• They intersect at the origin.

• They have the same gradient.

• They are perpendicular to each other.