Representing simultaneous equations graphically (Part 1)

Maths

Solving linear simultaneous equations graphically

Fill in the gaps: We can use ____ to solve simultaneous equations.

What are the coordinates of the points of intersection for y = x + 5 and y = -2x - 1?

Use a graph to solve y = x + 5 and y = -2x - 1 simultaneously.

Create equations for the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".

Find the values of x and y that are true for both of the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".

Please use this graph for all the questions:

What are the equations of the lines in the graph?

Estimate the point of intersection for the lines in the graph.

Decrease the gradient or increase the y-intercept.

Decrease the gradient or the y-intercept.

Increase the gradient or decrease the y-intercept.

Increase the gradient or the y-intercept.

How would you change y = 4x - 2 in order to increase the x-ordinate of the point of intersection?

How would you change y = 4x - 2 in order to increase the y-ordinate of the point of intersection?

How would you change y = -x - 1 in order to decrease the x-ordinate of the point of intersection?

This lesson will be removed by end of Summer Term 2025.

Representing simultaneous equations graphically (Part 1)

Lesson outcome

This lesson will be removed by end of Summer Term 2025.