GCSE Secondary Maths Age 13-17 - Graphs: Real-Life Graphs - Explained

The video tutorial explains how to solve the equation y = 1 - 4x for values of x from -3 to 3. It presents two methods: using a table of values and applying the Y = MX + C formula. The tutorial emphasizes the latter as the quicker and more accurate method, detailing how to find the gradient and intercept. It also guides on drawing the graph accurately and explains the marking criteria for the question.

What are the two methods mentioned for solving the problem of plotting the linear equation?

• Using a table of values and applying the quadratic formula

• Using a table of values and applying the equation of a straight line

• Using a graphing calculator and applying the quadratic formula

• Using a graphing calculator and applying the equation of a straight line

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

• The y-intercept of the line

• The x-intercept of the line

• The gradient or slope of the line

• The constant term of the equation

What does a negative gradient indicate about the direction of the line?

• The line is going upwards

• The line is vertical

• The line is horizontal

• The line is going downwards

When plotting the graph, what is important to check regarding the units?

• That one unit in the Y direction covers 3 squares

• That one unit in the X direction covers 3 squares

• That one unit in the Y direction covers 2 squares

• That one unit in the X direction covers 2 squares

What is required to earn full marks for the graph?

• Plotting only the positive side of the graph

• Completing the graph from x = -3 to x = 3

• Using a pen to draw the graph

• Ignoring the y-intercept