GCSE Secondary Maths Age 13-17 - Graphs: Graphical Solution for Simultaneous Equations - Explained

The video tutorial covers the final question on a math paper, focusing on graphing the equation x squared plus y squared equals 16, which represents a circle centered at the origin with a radius of 4 units. The tutorial explains how to draw the circle on a graph and emphasizes the importance of understanding the equation's form. It also covers estimating intersection points by drawing a line y equals 2x plus 1 and finding where it intersects the circle. The tutorial highlights the need for estimation rather than exact calculations and provides guidance on marking the graph correctly to earn marks.

What is the radius of the circle represented by the equation x^2 + y^2 = 16?

• 16 units

• 2 units

• 4 units

• 8 units

What is the center of the circle described by the equation x^2 + y^2 = 16?

• (4, 4)

• (16, 16)

• (0, 0)

• (1, 1)

Which method is used to draw the line y = 2x + 1 on the graph?

• Circle method

• Gradient intercept method

• Midpoint method

• Parabola method

What are the approximate coordinates of the intersection point when x = 1.45?

• (1.45, 5.0)

• (1.45, 2.9)

• (1.45, 3.8)

• (1.45, 4.5)

Why is it important to use the graph for estimation in Part B?

• To save time and avoid complex calculations

• To ensure exact answers

• To draw more lines

• To calculate the area of the circle